2550760934400 has 2640 divisors, whose sum is σ = 11517750093600. Its totient is φ = 552305295360.

The previous prime is 2550760934387. The next prime is 2550760934417. The reversal of 2550760934400 is 44390670552.

2550760934400 is a `hidden beast` number, since 2 + 5 + 5 + 0 + 7 + 609 + 34 + 4 + 0 + 0 = 666.

It is a super-2 number, since 2×2550760934400² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 48127564774 + ... + 48127564826.

Almost surely, 2^{2550760934400} is an apocalyptic number.

2550760934400 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 2550760934400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5758875046800).

2550760934400 is an abundant number, since it is smaller than the sum of its proper divisors (8966989159200).

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

2550760934400 is an equidigital number, since it uses as much as digits as its factorization.

2550760934400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 2550760934400 in words is "two trillion, five hundred fifty billion, seven hundred sixty million, nine hundred thirty-four thousand, four hundred".