2256451540 has 24 divisors (see below), whose sum is σ = 5415484032. Its totient is φ = 773640480.

The previous prime is 2256451537. The next prime is 2256451573. The reversal of 2256451540 is 451546522.

It is a junction number, because it is equal to n+sod(n) for n = 2256451496 and 2256451505.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8058616 + ... + 8058895.

It is an arithmetic number, because the mean of its divisors is an integer number (225645168).

Almost surely, 2^2256451540 is an apocalyptic number.

2256451540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2256451540 is an abundant number, since it is smaller than the sum of its proper divisors (3159032492).

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

2256451540 is a wasteful number, since it uses less digits than its factorization.

2256451540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16117527 (or 16117525 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 34.

The square root of 2256451540 is about 47502.1214263111. The cubic root of 2256451540 is about 1311.6219329127.

The spelling of 2256451540 in words is "two billion, two hundred fifty-six million, four hundred fifty-one thousand, five hundred forty".