2128357520640 has 1152 divisors, whose sum is σ = 8385220569600. Its totient is φ = 507873853440.

The previous prime is 2128357520623. The next prime is 2128357520659. The reversal of 2128357520640 is 460257538212.

2128357520640 is a `hidden beast` number, since 2 + 1 + 2 + 83 + 5 + 7 + 520 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4181448706 + ... + 4181449214.

It is an arithmetic number, because the mean of its divisors is an integer number (7278837300).

Almost surely, 2^{2128357520640} is an apocalyptic number.

2128357520640 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 2128357520640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4192610284800).

2128357520640 is an abundant number, since it is smaller than the sum of its proper divisors (6256863048960).

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

2128357520640 is a wasteful number, since it uses less digits than its factorization.

2128357520640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 2128357520640 in words is "two trillion, one hundred twenty-eight billion, three hundred fifty-seven million, five hundred twenty thousand, six hundred forty".