2552964480 has 640 divisors, whose sum is σ = 10299152160. Its totient is φ = 602173440.

The previous prime is 2552964451. The next prime is 2552964487. The reversal of 2552964480 is 844692552.

2552964480 is a `hidden beast` number, since 2 + 5 + 529 + 6 + 44 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×2552964480² = 13035255272283340800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2552964487) 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 79 ways as a sum of consecutive naturals, for example, 68999022 + ... + 68999058.

Almost surely, 2^2552964480 is an apocalyptic number.

2552964480 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 2552964480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5149576080).

2552964480 is an abundant number, since it is smaller than the sum of its proper divisors (7746187680).

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

2552964480 is an equidigital number, since it uses as much as digits as its factorization.

2552964480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 2552964480 is about 50526.8688917095. The cubic root of 2552964480 is about 1366.7264231919.

It can be divided in two parts, 25529 and 64480, that added together give a palindrome (90009).

The spelling of 2552964480 in words is "two billion, five hundred fifty-two million, nine hundred sixty-four thousand, four hundred eighty".