2550214800 has 720 divisors, whose sum is σ = 10867756800. Its totient is φ = 566092800.

The previous prime is 2550214787. The next prime is 2550214813. The reversal of 2550214800 is 84120552.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2550214787) and next prime (2550214813).

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×2550214800² = 13007191052278080000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 32281161 + ... + 32281239.

Almost surely, 2^2550214800 is an apocalyptic number.

2550214800 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 2550214800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5433878400).

2550214800 is an abundant number, since it is smaller than the sum of its proper divisors (8317542000).

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

2550214800 is a wasteful number, since it uses less digits than its factorization.

2550214800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 2550214800 is about 50499.6514839459. The cubic root of 2550214800 is about 1366.2355676447.

The spelling of 2550214800 in words is "two billion, five hundred fifty million, two hundred fourteen thousand, eight hundred".