2551451400 has 288 divisors, whose sum is σ = 9083168640. Its totient is φ = 665314560.

The previous prime is 2551451369. The next prime is 2551451449. The reversal of 2551451400 is 41541552.

2551451400 is a `hidden beast` number, since 2 + 5 + 514 + 5 + 140 + 0 = 666.

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 71 ways as a sum of consecutive naturals, for example, 2283642 + ... + 2284758.

It is an arithmetic number, because the mean of its divisors is an integer number (31538780).

Almost surely, 2^2551451400 is an apocalyptic number.

2551451400 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 2551451400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4541584320).

2551451400 is an abundant number, since it is smaller than the sum of its proper divisors (6531717240).

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

2551451400 is a wasteful number, since it uses less digits than its factorization.

2551451400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1195 (or 1174 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 2551451400 is about 50511.8936489219. The cubic root of 2551451400 is about 1366.4563613205.

Adding to 2551451400 its reverse (41541552), we get a palindrome (2592992952).

The spelling of 2551451400 in words is "two billion, five hundred fifty-one million, four hundred fifty-one thousand, four hundred".