2501667705960 has 384 divisors, whose sum is σ = 8907956208000. Its totient is φ = 624347947008.

The previous prime is 2501667705947. The next prime is 2501667706001. The reversal of 2501667705960 is 695077661052.

2501667705960 is a `hidden beast` number, since 2 + 501 + 6 + 6 + 7 + 70 + 5 + 9 + 60 = 666.

It is a super-2 number, since 2×2501667705960² (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 a junction number, because it is equal to n+sod(n) for n = 2501667705897 and 2501667705906.

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 95 ways as a sum of consecutive naturals, for example, 55847092 + ... + 55891868.

It is an arithmetic number, because the mean of its divisors is an integer number (23197802625).

Almost surely, 2^{2501667705960} is an apocalyptic number.

2501667705960 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 2501667705960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4453978104000).

2501667705960 is an abundant number, since it is smaller than the sum of its proper divisors (6406288502040).

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

2501667705960 is a wasteful number, since it uses less digits than its factorization.

2501667705960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45010 (or 44983 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The spelling of 2501667705960 in words is "two trillion, five hundred one billion, six hundred sixty-seven million, seven hundred five thousand, nine hundred sixty".