2629382400960 has 224 divisors, whose sum is σ = 9545369613312. Its totient is φ = 600720261120.

The previous prime is 2629382400943. The next prime is 2629382400973. The reversal of 2629382400960 is 690042839262.

It is a tau number, because it is divible by the number of its divisors (224).

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, 14431389 + ... + 14612451.

Almost surely, 2^{2629382400960} is an apocalyptic number.

2629382400960 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 2629382400960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4772684806656).

2629382400960 is an abundant number, since it is smaller than the sum of its proper divisors (6915987212352).

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

2629382400960 is a wasteful number, since it uses less digits than its factorization.

2629382400960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183251 (or 183241 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 51.

The spelling of 2629382400960 in words is "two trillion, six hundred twenty-nine billion, three hundred eighty-two million, four hundred thousand, nine hundred sixty".