2649045952920 has 256 divisors, whose sum is σ = 8091249408000. Its totient is φ = 693746436096.

The previous prime is 2649045952919. The next prime is 2649045953003. The reversal of 2649045952920 is 292595409462.

It is a Cunningham number, because it is equal to 1627589²-1.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 709627374 + ... + 709631106.

It is an arithmetic number, because the mean of its divisors is an integer number (31606443000).

Almost surely, 2^{2649045952920} is an apocalyptic number.

2649045952920 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 2649045952920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4045624704000).

2649045952920 is an abundant number, since it is smaller than the sum of its proper divisors (5442203455080).

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

2649045952920 is a wasteful number, since it uses less digits than its factorization.

2649045952920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4322 (or 4318 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 57.

The spelling of 2649045952920 in words is "two trillion, six hundred forty-nine billion, forty-five million, nine hundred fifty-two thousand, nine hundred twenty".