2551469760 has 224 divisors, whose sum is σ = 10287121920. Its totient is φ = 583179264.

The previous prime is 2551469747. The next prime is 2551469761. The reversal of 2551469760 is 679641552.

2551469760 is a `hidden beast` number, since 2 + 5 + 514 + 69 + 76 + 0 = 666.

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 (45).

It is not an unprimeable number, because it can be changed into a prime (2551469761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39387 + ... + 81573.

Almost surely, 2^2551469760 is an apocalyptic number.

2551469760 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 2551469760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5143560960).

2551469760 is an abundant number, since it is smaller than the sum of its proper divisors (7735652160).

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

2551469760 is a wasteful number, since it uses less digits than its factorization.

2551469760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42220 (or 42204 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 2551469760 is about 50512.0753879704. The cubic root of 2551469760 is about 1366.4596389423.

The spelling of 2551469760 in words is "two billion, five hundred fifty-one million, four hundred sixty-nine thousand, seven hundred sixty".