2090200807200 has 576 divisors, whose sum is σ = 7979069306880. Its totient is φ = 469827072000.

The previous prime is 2090200807151. The next prime is 2090200807217. The reversal of 2090200807200 is 27080020902.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23530870 + ... + 23619530.

It is an arithmetic number, because the mean of its divisors is an integer number (13852550880).

Almost surely, 2^{2090200807200} is an apocalyptic number.

2090200807200 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 2090200807200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3989534653440).

2090200807200 is an abundant number, since it is smaller than the sum of its proper divisors (5888868499680).

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

2090200807200 is a wasteful number, since it uses less digits than its factorization.

2090200807200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88761 (or 88748 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The spelling of 2090200807200 in words is "two trillion, ninety billion, two hundred million, eight hundred seven thousand, two hundred".