2091356990400 has 336 divisors, whose sum is σ = 7229266297344. Its totient is φ = 528265605120.

The previous prime is 2091356990399. The next prime is 2091356990477. The reversal of 2091356990400 is 40996531902.

It is a super-2 number, since 2×2091356990400² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2091356990400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11279242 + ... + 11463158.

It is an arithmetic number, because the mean of its divisors is an integer number (21515673504).

Almost surely, 2^{2091356990400} is an apocalyptic number.

2091356990400 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 2091356990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3614633148672).

2091356990400 is an abundant number, since it is smaller than the sum of its proper divisors (5137909306944).

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

2091356990400 is a wasteful number, since it uses less digits than its factorization.

2091356990400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184068 (or 184053 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 48.

The spelling of 2091356990400 in words is "two trillion, ninety-one billion, three hundred fifty-six million, nine hundred ninety thousand, four hundred".