2508942332160 has 1152 divisors, whose sum is σ = 9943376486400. Its totient is φ = 593949818880.

The previous prime is 2508942332147. The next prime is 2508942332167. The reversal of 2508942332160 is 612332498052.

2508942332160 is a `hidden beast` number, since 2 + 5 + 0 + 8 + 9 + 423 + 3 + 216 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×2508942332160² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2508942332167) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3489488281 + ... + 3489488999.

It is an arithmetic number, because the mean of its divisors is an integer number (8631403200).

Almost surely, 2^{2508942332160} is an apocalyptic number.

2508942332160 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 2508942332160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4971688243200).

2508942332160 is an abundant number, since it is smaller than the sum of its proper divisors (7434434154240).

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

2508942332160 is a wasteful number, since it uses less digits than its factorization.

2508942332160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 2508942332160 in words is "two trillion, five hundred eight billion, nine hundred forty-two million, three hundred thirty-two thousand, one hundred sixty".