2031981659136 has 1408 divisors, whose sum is σ = 7447962009600. Its totient is φ = 538804224000.

The previous prime is 2031981659129. The next prime is 2031981659173. The reversal of 2031981659136 is 6319561891302.

2031981659136 is a `hidden beast` number, since 2 + 0 + 3 + 1 + 9 + 8 + 16 + 591 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7231251316 + ... + 7231251596.

Almost surely, 2^{2031981659136} is an apocalyptic number.

2031981659136 is a gapful number since it is divisible by the number (26) 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 2031981659136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3723981004800).

2031981659136 is an abundant number, since it is smaller than the sum of its proper divisors (5415980350464).

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

2031981659136 is a wasteful number, since it uses less digits than its factorization.

2031981659136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 2031981659136 in words is "two trillion, thirty-one billion, nine hundred eighty-one million, six hundred fifty-nine thousand, one hundred thirty-six".