2552274720 has 144 divisors (see below), whose sum is σ = 8736050232. Its totient is φ = 678543360.

The previous prime is 2552274713. The next prime is 2552274749. The reversal of 2552274720 is 274722552.

It can be written as a sum of positive squares in 4 ways, for example, as 2365460496 + 186814224 = 48636^2 + 13668^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 505810 + ... + 510830.

Almost surely, 2^2552274720 is an apocalyptic number.

2552274720 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 2552274720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4368025116).

2552274720 is an abundant number, since it is smaller than the sum of its proper divisors (6183775512).

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

2552274720 is a wasteful number, since it uses less digits than its factorization.

2552274720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5395 (or 5384 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 36.

The square root of 2552274720 is about 50520.0427553263. The cubic root of 2552274720 is about 1366.6033247132.

The spelling of 2552274720 in words is "two billion, five hundred fifty-two million, two hundred seventy-four thousand, seven hundred twenty".