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2542310424 = 2332177732687
BaseRepresentation
bin1001011110001000…
…1001010000011000
320120011210202021100
42113202021100120
520201312413144
61100134311400
7120000165513
oct22742112030
96504722240
102542310424
1110950824a5
125ab4b8560
133169247c4
141a1905d7a
15ed2d7269
hex97889418

2542310424 has 96 divisors (see below), whose sum is σ = 7302597120. Its totient is φ = 796259328.

The previous prime is 2542310423. The next prime is 2542310437. The reversal of 2542310424 is 4240132452.

2542310424 is a `hidden beast` number, since 2 + 5 + 4 + 231 + 0 + 424 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2542310423) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 944809 + ... + 947495.

It is an arithmetic number, because the mean of its divisors is an integer number (76068720).

Almost surely, 22542310424 is an apocalyptic number.

2542310424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2542310424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3651298560).

2542310424 is an abundant number, since it is smaller than the sum of its proper divisors (4760286696).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2542310424 is a wasteful number, since it uses less digits than its factorization.

2542310424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3489 (or 3482 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 2542310424 is about 50421.3290582468. The cubic root of 2542310424 is about 1364.8225603591.

Adding to 2542310424 its reverse (4240132452), we get a palindrome (6782442876).

The spelling of 2542310424 in words is "two billion, five hundred forty-two million, three hundred ten thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 773 1224 1546 2319 2687 3092 4638 5374 6184 6957 8061 9276 10748 13141 13914 16122 18552 21496 24183 26282 27828 32244 39423 45679 48366 52564 55656 64488 78846 91358 96732 105128 118269 137037 157692 182716 193464 236538 274074 315384 365432 411111 473076 548148 822222 946152 1096296 1644444 2077051 3288888 4154102 6231153 8308204 12462306 16616408 18693459 24924612 35309867 37386918 49849224 70619734 74773836 105929601 141239468 149547672 211859202 282478936 317788803 423718404 635577606 847436808 1271155212 2542310424