2642130736960 has 224 divisors, whose sum is σ = 7394658872832. Its totient is φ = 886489989120.

The previous prime is 2642130736951. The next prime is 2642130736981. The reversal of 2642130736960 is 696370312462.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119742889 + ... + 119764951.

It is an arithmetic number, because the mean of its divisors is an integer number (33011869968).

Almost surely, 2^{2642130736960} is an apocalyptic number.

2642130736960 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 2642130736960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3697329436416).

2642130736960 is an abundant number, since it is smaller than the sum of its proper divisors (4752528135872).

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

2642130736960 is a wasteful number, since it uses less digits than its factorization.

2642130736960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24721 (or 24711 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 49.

The spelling of 2642130736960 in words is "two trillion, six hundred forty-two billion, one hundred thirty million, seven hundred thirty-six thousand, nine hundred sixty".