2031828374400 has 384 divisors, whose sum is σ = 7304963702400. Its totient is φ = 492278784000.

The previous prime is 2031828374357. The next prime is 2031828374437. The reversal of 2031828374400 is 44738281302.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 225029086 + ... + 225038114.

It is an arithmetic number, because the mean of its divisors is an integer number (19023342975).

Almost surely, 2^{2031828374400} is an apocalyptic number.

2031828374400 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 2031828374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3652481851200).

2031828374400 is an abundant number, since it is smaller than the sum of its proper divisors (5273135328000).

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

2031828374400 is a wasteful number, since it uses less digits than its factorization.

2031828374400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11198 (or 11181 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The spelling of 2031828374400 in words is "two trillion, thirty-one billion, eight hundred twenty-eight million, three hundred seventy-four thousand, four hundred".