2551416000 has 224 divisors, whose sum is σ = 9628948992. Its totient is φ = 583142400.

The previous prime is 2551415989. The next prime is 2551416041. The reversal of 2551416000 is 6141552.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 160407 + ... + 175593.

Almost surely, 2^2551416000 is an apocalyptic number.

2551416000 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 2551416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4814474496).

2551416000 is an abundant number, since it is smaller than the sum of its proper divisors (7077532992).

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

2551416000 is a wasteful number, since it uses less digits than its factorization.

2551416000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15224 (or 15204 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 2551416000 is about 50511.5432351854. The cubic root of 2551416000 is about 1366.4500416784.

Adding to 2551416000 its reverse (6141552), we get a palindrome (2557557552).

It can be divided in two parts, 25514 and 16000, that added together give a palindrome (41514).

The spelling of 2551416000 in words is "two billion, five hundred fifty-one million, four hundred sixteen thousand".