2551349472 has 192 divisors, whose sum is σ = 8012390400. Its totient is φ = 695439360.

The previous prime is 2551349453. The next prime is 2551349483. The reversal of 2551349472 is 2749431552.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 1733697 + ... + 1735167.

It is an arithmetic number, because the mean of its divisors is an integer number (41731200).

Almost surely, 2^2551349472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2551349472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4006195200).

2551349472 is an abundant number, since it is smaller than the sum of its proper divisors (5461040928).

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

2551349472 is a wasteful number, since it uses less digits than its factorization.

2551349472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1609 (or 1601 counting only the distinct ones).

The product of its digits is 302400, while the sum is 42.

The square root of 2551349472 is about 50510.8846883521. The cubic root of 2551349472 is about 1366.4381648776.

The spelling of 2551349472 in words is "two billion, five hundred fifty-one million, three hundred forty-nine thousand, four hundred seventy-two".