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2542797090 = 233526335809
BaseRepresentation
bin1001011110010000…
…0000000100100010
320120012201110212000
42113210000010202
520201424001330
61100152544430
7120004263411
oct22744000442
96505643760
102542797090
1110953850a9
125ab6b2116
13316a65182
141a19d1478
15ed381560
hex97900122

2542797090 has 64 divisors (see below), whose sum is σ = 6806764800. Its totient is φ = 675482112.

The previous prime is 2542797079. The next prime is 2542797097. The reversal of 2542797090 is 907972452.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2542797097) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53106 + ... + 88914.

It is an arithmetic number, because the mean of its divisors is an integer number (106355700).

Almost surely, 22542797090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2542797090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3403382400).

2542797090 is an abundant number, since it is smaller than the sum of its proper divisors (4263967710).

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

2542797090 is a wasteful number, since it uses less digits than its factorization.

2542797090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36088 (or 36082 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 2542797090 is about 50426.1548206880. The cubic root of 2542797090 is about 1364.9096426120.

The spelling of 2542797090 in words is "two billion, five hundred forty-two million, seven hundred ninety-seven thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 263 270 526 789 1315 1578 2367 2630 3945 4734 7101 7890 11835 14202 23670 35505 35809 71010 71618 107427 179045 214854 322281 358090 537135 644562 966843 1074270 1611405 1933686 3222810 4834215 9417767 9668430 18835534 28253301 47088835 56506602 84759903 94177670 141266505 169519806 254279709 282533010 423799515 508559418 847599030 1271398545 2542797090