2051265648384 has 360 divisors, whose sum is σ = 6288986329472. Its totient is φ = 664627783680.

The previous prime is 2051265648331. The next prime is 2051265648401. The reversal of 2051265648384 is 4838465621502.

2051265648384 is a `hidden beast` number, since 2 + 0 + 51 + 26 + 564 + 8 + 3 + 8 + 4 = 666.

It is a super-2 number, since 2×2051265648384² (a number of 25 digits) contains 22 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 2051265648384.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 188132277 + ... + 188143179.

Almost surely, 2^{2051265648384} is an apocalyptic number.

2051265648384 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 2051265648384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3144493164736).

2051265648384 is an abundant number, since it is smaller than the sum of its proper divisors (4237720681088).

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

2051265648384 is a wasteful number, since it uses less digits than its factorization.

2051265648384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11185 (or 11162 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 2051265648384 in words is "two trillion, fifty-one billion, two hundred sixty-five million, six hundred forty-eight thousand, three hundred eighty-four".