2090757379200 has 384 divisors, whose sum is σ = 7873231259520. Its totient is φ = 477703864320.

The previous prime is 2090757379187. The next prime is 2090757379223. The reversal of 2090757379200 is 29737570902.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 257573542 + ... + 257581658.

It is an arithmetic number, because the mean of its divisors is an integer number (20503206405).

Almost surely, 2^{2090757379200} is an apocalyptic number.

2090757379200 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 2090757379200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3936615629760).

2090757379200 is an abundant number, since it is smaller than the sum of its proper divisors (5782473880320).

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

2090757379200 is a wasteful number, since it uses less digits than its factorization.

2090757379200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11984 (or 11967 counting only the distinct ones).

The product of its (nonzero) digits is 1666980, while the sum is 51.

The spelling of 2090757379200 in words is "two trillion, ninety billion, seven hundred fifty-seven million, three hundred seventy-nine thousand, two hundred".