2031140966400 has 3276 divisors, whose sum is σ = 9751492703808. Its totient is φ = 409915883520.

The previous prime is 2031140966399. The next prime is 2031140966429. The reversal of 2031140966400 is 46690411302.

2031140966400 is a `hidden beast` number, since 2 + 0 + 3 + 1 + 1 + 4 + 0 + 9 + 6 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3276).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 88310476789 + ... + 88310476811.

Almost surely, 2^{2031140966400} is an apocalyptic number.

2031140966400 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 2031140966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4875746351904).

2031140966400 is an abundant number, since it is smaller than the sum of its proper divisors (7720351737408).

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

2031140966400 is an equidigital number, since it uses as much as digits as its factorization.

2031140966400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 2031140966400 in words is "two trillion, thirty-one billion, one hundred forty million, nine hundred sixty-six thousand, four hundred".