2465940644352 has 320 divisors, whose sum is σ = 7622512128000. Its totient is φ = 785644130304.

The previous prime is 2465940644351. The next prime is 2465940644407. The reversal of 2465940644352 is 2534460495642.

2465940644352 is a `hidden beast` number, since 2 + 4 + 6 + 594 + 0 + 6 + 4 + 43 + 5 + 2 = 666.

It is a super-2 number, since 2×2465940644352² (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 not an unprimeable number, because it can be changed into a prime (2465940644351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 629225049 + ... + 629228967.

It is an arithmetic number, because the mean of its divisors is an integer number (23820350400).

Almost surely, 2^{2465940644352} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2465940644352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3811256064000).

2465940644352 is an abundant number, since it is smaller than the sum of its proper divisors (5156571483648).

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

2465940644352 is a wasteful number, since it uses less digits than its factorization.

2465940644352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5948 (or 5926 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 54.

The spelling of 2465940644352 in words is "two trillion, four hundred sixty-five billion, nine hundred forty million, six hundred forty-four thousand, three hundred fifty-two".