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2540894048 = 257119710631
BaseRepresentation
bin1001011101110010…
…1111011101100000
320120002010210100222
42113130233131200
520200432102143
61100044102212
7116652146240
oct22734573540
96502123328
102540894048
1110942a5340
125aab34968
13316549c04
141a1657b20
15ed107768
hex9772f760

2540894048 has 96 divisors (see below), whose sum is σ = 6301628928. Its totient is φ = 979660800.

The previous prime is 2540894029. The next prime is 2540894053. The reversal of 2540894048 is 8404980452.

It is a super-2 number, since 2×25408940482 = 12912285126323652608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 233693 + ... + 244323.

It is an arithmetic number, because the mean of its divisors is an integer number (65641968).

Almost surely, 22540894048 is an apocalyptic number.

2540894048 is a gapful number since it is divisible by the number (28) 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 2540894048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3150814464).

2540894048 is an abundant number, since it is smaller than the sum of its proper divisors (3760734880).

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

2540894048 is a wasteful number, since it uses less digits than its factorization.

2540894048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10756 (or 10748 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 44.

The square root of 2540894048 is about 50407.2816961994. The cubic root of 2540894048 is about 1364.5690559086.

The spelling of 2540894048 in words is "two billion, five hundred forty million, eight hundred ninety-four thousand, forty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 97 112 154 176 194 224 308 352 388 616 679 776 1067 1232 1358 1552 2134 2464 2716 3104 4268 5432 7469 8536 10631 10864 14938 17072 21262 21728 29876 34144 42524 59752 74417 85048 116941 119504 148834 170096 233882 239008 297668 340192 467764 595336 818587 935528 1031207 1190672 1637174 1871056 2062414 2381344 3274348 3742112 4124828 6548696 7218449 8249656 11343277 13097392 14436898 16499312 22686554 26194784 28873796 32998624 45373108 57747592 79402939 90746216 115495184 158805878 181492432 230990368 317611756 362984864 635223512 1270447024 2540894048