2031145451400 has 384 divisors, whose sum is σ = 7491952984320. Its totient is φ = 450104033280.

The previous prime is 2031145451299. The next prime is 2031145451431. The reversal of 2031145451400 is 41545411302.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2716804 + ... + 3382796.

It is an arithmetic number, because the mean of its divisors is an integer number (19510294230).

Almost surely, 2^{2031145451400} is an apocalyptic number.

2031145451400 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 2031145451400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3745976492160).

2031145451400 is an abundant number, since it is smaller than the sum of its proper divisors (5460807532920).

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

2031145451400 is a wasteful number, since it uses less digits than its factorization.

2031145451400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666065 (or 666056 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 2031145451400 in words is "two trillion, thirty-one billion, one hundred forty-five million, four hundred fifty-one thousand, four hundred".