2090334769200 has 360 divisors, whose sum is σ = 7576250922240. Its totient is φ = 532706803200.

The previous prime is 2090334769181. The next prime is 2090334769213. The reversal of 2090334769200 is 29674330902.

2090334769200 is a `hidden beast` number, since 2 + 0 + 90 + 3 + 3 + 476 + 92 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 96948021 + ... + 96969579.

Almost surely, 2^{2090334769200} is an apocalyptic number.

2090334769200 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 2090334769200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3788125461120).

2090334769200 is an abundant number, since it is smaller than the sum of its proper divisors (5485916153040).

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

2090334769200 is a wasteful number, since it uses less digits than its factorization.

2090334769200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22777 (or 22763 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 2090334769200 in words is "two trillion, ninety billion, three hundred thirty-four million, seven hundred sixty-nine thousand, two hundred".