2960005607520 has 576 divisors, whose sum is σ = 10699668302400. Its totient is φ = 686311342080.

The previous prime is 2960005607509. The next prime is 2960005607681. The reversal of 2960005607520 is 257065000692.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 96436336 + ... + 96467024.

It is an arithmetic number, because the mean of its divisors is an integer number (18575813025).

Almost surely, 2^{2960005607520} is an apocalyptic number.

2960005607520 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 2960005607520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5349834151200).

2960005607520 is an abundant number, since it is smaller than the sum of its proper divisors (7739662694880).

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

2960005607520 is a wasteful number, since it uses less digits than its factorization.

2960005607520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30803 (or 30782 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 42.

The spelling of 2960005607520 in words is "two trillion, nine hundred sixty billion, five million, six hundred seven thousand, five hundred twenty".