2040256512000 has 1800 divisors, whose sum is σ = 8884276088688. Its totient is φ = 464486400000.

The previous prime is 2040256511971. The next prime is 2040256512059. The reversal of 2040256512000 is 2156520402.

2040256512000 is a `hidden beast` number, since 2 + 0 + 4 + 0 + 2 + 5 + 651 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1800).

It is a super-2 number, since 2×2040256512000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 8128511875 + ... + 8128512125.

Almost surely, 2^{2040256512000} is an apocalyptic number.

2040256512000 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 2040256512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4442138044344).

2040256512000 is an abundant number, since it is smaller than the sum of its proper divisors (6844019576688).

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

2040256512000 is an frugal number, since it uses more digits than its factorization.

2040256512000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 2040256512000 in words is "two trillion, forty billion, two hundred fifty-six million, five hundred twelve thousand".