2551528980 has 864 divisors, whose sum is σ = 11264198400. Its totient is φ = 460615680.

The previous prime is 2551528939. The next prime is 2551529003. The reversal of 2551528980 is 898251552.

It is a happy number.

2551528980 is a `hidden beast` number, since 2 + 551 + 5 + 2 + 8 + 98 + 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 150089932 + ... + 150089948.

Almost surely, 2^2551528980 is an apocalyptic number.

2551528980 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 2551528980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5632099200).

2551528980 is an abundant number, since it is smaller than the sum of its proper divisors (8712669420).

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

2551528980 is a wasteful number, since it uses less digits than its factorization.

2551528980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 45.

The square root of 2551528980 is about 50512.6615810333. The cubic root of 2551528980 is about 1366.4702107723.

The spelling of 2551528980 in words is "two billion, five hundred fifty-one million, five hundred twenty-eight thousand, nine hundred eighty".