2110312220400 has 180 divisors, whose sum is σ = 7395879486840. Its totient is φ = 557178048000.

The previous prime is 2110312220363. The next prime is 2110312220431. The reversal of 2110312220400 is 40222130112.

It is a happy number.

2110312220400 is a `hidden beast` number, since 2 + 1 + 10 + 31 + 2 + 220 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2538370 + ... + 3265569.

Almost surely, 2^{2110312220400} is an apocalyptic number.

2110312220400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2110312220400 is an abundant number, since it is smaller than the sum of its proper divisors (5285567266440).

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

2110312220400 is a wasteful number, since it uses less digits than its factorization.

2110312220400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5804064 (or 5804050 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2110312220400 its reverse (40222130112), we get a palindrome (2150534350512).

The spelling of 2110312220400 in words is "two trillion, one hundred ten billion, three hundred twelve million, two hundred twenty thousand, four hundred".