2091138944400 has 720 divisors, whose sum is σ = 8401580478720. Its totient is φ = 476021145600.

The previous prime is 2091138944399. The next prime is 2091138944423. The reversal of 2091138944400 is 44498311902.

2091138944400 is a `hidden beast` number, since 2 + 0 + 9 + 113 + 8 + 94 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 143 ways as a sum of consecutive naturals, for example, 311688246 + ... + 311694954.

It is an arithmetic number, because the mean of its divisors is an integer number (11668861776).

Almost surely, 2^{2091138944400} is an apocalyptic number.

2091138944400 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 2091138944400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4200790239360).

2091138944400 is an abundant number, since it is smaller than the sum of its proper divisors (6310441534320).

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

2091138944400 is a wasteful number, since it uses less digits than its factorization.

2091138944400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7224 (or 7210 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 2091138944400 in words is "two trillion, ninety-one billion, one hundred thirty-eight million, nine hundred forty-four thousand, four hundred".