2506315600440 has 128 divisors (see below), whose sum is σ = 8358974668800. Its totient is φ = 667983680640.

The previous prime is 2506315600421. The next prime is 2506315600471. The reversal of 2506315600440 is 440065136052.

2506315600440 is a `hidden beast` number, since 2 + 5 + 0 + 6 + 3 + 1 + 5 + 600 + 4 + 40 = 666.

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 = 2506315600395 and 2506315600404.

It is a congruent number.

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, 1332345 + ... + 2605335.

It is an arithmetic number, because the mean of its divisors is an integer number (65304489600).

Almost surely, 2^{2506315600440} is an apocalyptic number.

2506315600440 is a gapful number since it is divisible by the number (20) 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 2506315600440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4179487334400).

2506315600440 is an abundant number, since it is smaller than the sum of its proper divisors (5852659068360).

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

2506315600440 is a wasteful number, since it uses less digits than its factorization.

2506315600440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1274834 (or 1274824 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 2506315600440 in words is "two trillion, five hundred six billion, three hundred fifteen million, six hundred thousand, four hundred forty".