2595420779952 has 720 divisors, whose sum is σ = 9150685152000. Its totient is φ = 620211271680.

The previous prime is 2595420779947. The next prime is 2595420780079. The reversal of 2595420779952 is 2599770245952.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3428560758 + ... + 3428561514.

Almost surely, 2^{2595420779952} is an apocalyptic number.

2595420779952 is a gapful number since it is divisible by the number (22) 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 2595420779952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4575342576000).

2595420779952 is an abundant number, since it is smaller than the sum of its proper divisors (6555264372048).

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

2595420779952 is a wasteful number, since it uses less digits than its factorization.

2595420779952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1322 (or 1292 counting only the distinct ones).

The product of its (nonzero) digits is 142884000, while the sum is 66.

The spelling of 2595420779952 in words is "two trillion, five hundred ninety-five billion, four hundred twenty million, seven hundred seventy-nine thousand, nine hundred fifty-two".