2096057812464 has 1600 divisors, whose sum is σ = 8263425392640. Its totient is φ = 496793088000.

The previous prime is 2096057812411. The next prime is 2096057812517. The reversal of 2096057812464 is 4642187506902.

2096057812464 is a `hidden beast` number, since 2 + 0 + 9 + 6 + 0 + 578 + 1 + 2 + 4 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (2096057812411) and next prime (2096057812517).

It is a super-3 number, since 3×2096057812464³ (a number of 38 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2096057812464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 6332500779 + ... + 6332501109.

Almost surely, 2^{2096057812464} is an apocalyptic number.

2096057812464 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 2096057812464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4131712696320).

2096057812464 is an abundant number, since it is smaller than the sum of its proper divisors (6167367580176).

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

2096057812464 is a wasteful number, since it uses less digits than its factorization.

2096057812464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 2096057812464 in words is "two trillion, ninety-six billion, fifty-seven million, eight hundred twelve thousand, four hundred sixty-four".