2506905385740 has 192 divisors, whose sum is σ = 9005333836800. Its totient is φ = 567099574272.

The previous prime is 2506905385727. The next prime is 2506905385757. The reversal of 2506905385740 is 475835096052.

2506905385740 is a `hidden beast` number, since 2 + 5 + 0 + 69 + 0 + 5 + 3 + 8 + 574 + 0 = 666.

It is a super-2 number, since 2×2506905385740² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3051910 + ... + 3785229.

It is an arithmetic number, because the mean of its divisors is an integer number (46902780400).

Almost surely, 2^{2506905385740} is an apocalyptic number.

2506905385740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2506905385740 is an abundant number, since it is smaller than the sum of its proper divisors (6498428451060).

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

2506905385740 is a wasteful number, since it uses less digits than its factorization.

2506905385740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6837261 (or 6837253 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 2506905385740 in words is "two trillion, five hundred six billion, nine hundred five million, three hundred eighty-five thousand, seven hundred forty".