2551506048 has 768 divisors, whose sum is σ = 10093104000. Its totient is φ = 627056640.

The previous prime is 2551506037. The next prime is 2551506049. The reversal of 2551506048 is 8406051552.

2551506048 is a `hidden beast` number, since 2 + 551 + 5 + 0 + 60 + 48 = 666.

It is a super-2 number, since 2×2551506048² = 13020366225961156608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2551506049) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41827938 + ... + 41827998.

Almost surely, 2^2551506048 is an apocalyptic number.

2551506048 is a gapful number since it is divisible by the number (28) 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 2551506048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5046552000).

2551506048 is an abundant number, since it is smaller than the sum of its proper divisors (7541597952).

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

2551506048 is a wasteful number, since it uses less digits than its factorization.

2551506048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 2551506048 is about 50512.4345879309. The cubic root of 2551506048 is about 1366.4661170193.

The spelling of 2551506048 in words is "two billion, five hundred fifty-one million, five hundred six thousand, forty-eight".