2800213620960 has 192 divisors, whose sum is σ = 10081819464192. Its totient is φ = 639982135296.

The previous prime is 2800213620901. The next prime is 2800213620961. The reversal of 2800213620960 is 690263120082.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2800213620961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36878394 + ... + 36954246.

It is an arithmetic number, because the mean of its divisors is an integer number (52509476376).

Almost surely, 2^{2800213620960} is an apocalyptic number.

2800213620960 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 2800213620960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5040909732096).

2800213620960 is an abundant number, since it is smaller than the sum of its proper divisors (7281605843232).

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

2800213620960 is a wasteful number, since it uses less digits than its factorization.

2800213620960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86865 (or 86857 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The spelling of 2800213620960 in words is "two trillion, eight hundred billion, two hundred thirteen million, six hundred twenty thousand, nine hundred sixty".