2455971840000 has 2100 divisors, whose sum is σ = 10740861124224. Its totient is φ = 549421056000.

The previous prime is 2455971839983. The next prime is 2455971840001. The reversal of 2455971840000 is 481795542.

2455971840000 is a `hidden beast` number, since 2 + 4 + 5 + 597 + 18 + 40 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2100).

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

It is not an unprimeable number, because it can be changed into a prime (2455971840001) by changing a digit.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 52254719977 + ... + 52254720023.

Almost surely, 2^{2455971840000} is an apocalyptic number.

2455971840000 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 2455971840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5370430562112).

2455971840000 is an abundant number, since it is smaller than the sum of its proper divisors (8284889284224).

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

2455971840000 is an frugal number, since it uses more digits than its factorization.

2455971840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 2455971840000 in words is "two trillion, four hundred fifty-five billion, nine hundred seventy-one million, eight hundred forty thousand".