2550199680 has 512 divisors, whose sum is σ = 10692864000. Its totient is φ = 562028544.

The previous prime is 2550199637. The next prime is 2550199783. The reversal of 2550199680 is 869910552.

2550199680 is a `hidden beast` number, since 2 + 550 + 1 + 9 + 96 + 8 + 0 = 666.

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 63 ways as a sum of consecutive naturals, for example, 3507477 + ... + 3508203.

It is an arithmetic number, because the mean of its divisors is an integer number (20884500).

Almost surely, 2^2550199680 is an apocalyptic number.

2550199680 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 2550199680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5346432000).

2550199680 is an abundant number, since it is smaller than the sum of its proper divisors (8142664320).

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

2550199680 is a wasteful number, since it uses less digits than its factorization.

2550199680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The square root of 2550199680 is about 50499.5017797206. The cubic root of 2550199680 is about 1366.2328675424.

The spelling of 2550199680 in words is "two billion, five hundred fifty million, one hundred ninety-nine thousand, six hundred eighty".