2075813464704 has 192 divisors, whose sum is σ = 6420211826400. Its totient is φ = 592524871680.

The previous prime is 2075813464687. The next prime is 2075813464721. The reversal of 2075813464704 is 4074643185702.

It is an interprime number because it is at equal distance from previous prime (2075813464687) and next prime (2075813464721).

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19911787 + ... + 20015765.

Almost surely, 2^{2075813464704} is an apocalyptic number.

2075813464704 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 2075813464704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3210105913200).

2075813464704 is an abundant number, since it is smaller than the sum of its proper divisors (4344398361696).

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

2075813464704 is a wasteful number, since it uses less digits than its factorization.

2075813464704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105071 (or 105052 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 51.

The spelling of 2075813464704 in words is "two trillion, seventy-five billion, eight hundred thirteen million, four hundred sixty-four thousand, seven hundred four".