2031145616640 has 864 divisors, whose sum is σ = 8070346980864. Its totient is φ = 432557260800.

The previous prime is 2031145616593. The next prime is 2031145616641. The reversal of 2031145616640 is 466165411302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2031145616641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 323067577 + ... + 323073863.

It is an arithmetic number, because the mean of its divisors is an integer number (9340679376).

Almost surely, 2^{2031145616640} is an apocalyptic number.

2031145616640 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 2031145616640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4035173490432).

2031145616640 is an abundant number, since it is smaller than the sum of its proper divisors (6039201364224).

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

2031145616640 is a wasteful number, since it uses less digits than its factorization.

2031145616640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6443 (or 6422 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 2031145616640 in words is "two trillion, thirty-one billion, one hundred forty-five million, six hundred sixteen thousand, six hundred forty".