2681254440 has 128 divisors (see below), whose sum is σ = 9326188800. Its totient is φ = 683907840.

The previous prime is 2681254439. The next prime is 2681254489. The reversal of 2681254440 is 444521862.

2681254440 is a `hidden beast` number, since 2 + 68 + 12 + 544 + 40 = 666.

It is a super-3 number, since 3×2681254440³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2681254395 and 2681254404.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29131 + ... + 78810.

It is an arithmetic number, because the mean of its divisors is an integer number (72860850).

Almost surely, 2^2681254440 is an apocalyptic number.

2681254440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2681254440 is an abundant number, since it is smaller than the sum of its proper divisors (6644934360).

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

2681254440 is a wasteful number, since it uses less digits than its factorization.

2681254440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107984 (or 107974 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 2681254440 is about 51780.8308160462. The cubic root of 2681254440 is about 1389.2466010203.

The spelling of 2681254440 in words is "two billion, six hundred eighty-one million, two hundred fifty-four thousand, four hundred forty".