2031613726464 has 1440 divisors, whose sum is σ = 7700458461696. Its totient is φ = 519481589760.

The previous prime is 2031613726451. The next prime is 2031613726517. The reversal of 2031613726464 is 4646273161302.

2031613726464 is a `hidden beast` number, since 2 + 0 + 3 + 1 + 613 + 7 + 26 + 4 + 6 + 4 = 666.

It is a super-2 number, since 2×2031613726464² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4350350359 + ... + 4350350825.

Almost surely, 2^{2031613726464} is an apocalyptic number.

2031613726464 is a gapful number since it is divisible by the number (24) 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 2031613726464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3850229230848).

2031613726464 is an abundant number, since it is smaller than the sum of its proper divisors (5668844735232).

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

2031613726464 is a wasteful number, since it uses less digits than its factorization.

2031613726464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

Adding to 2031613726464 its reverse (4646273161302), we get a palindrome (6677886887766).

The spelling of 2031613726464 in words is "two trillion, thirty-one billion, six hundred thirteen million, seven hundred twenty-six thousand, four hundred sixty-four".