2552715648 has 320 divisors, whose sum is σ = 9197258400. Its totient is φ = 686112768.

The previous prime is 2552715643. The next prime is 2552715667. The reversal of 2552715648 is 8465172552.

2552715648 is a `hidden beast` number, since 2 + 552 + 7 + 1 + 56 + 48 = 666.

It is a super-3 number, since 3×2552715648³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2552715643) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1232758 + ... + 1234826.

Almost surely, 2^2552715648 is an apocalyptic number.

2552715648 is a gapful number since it is divisible by the number (28) 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 2552715648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4598629200).

2552715648 is an abundant number, since it is smaller than the sum of its proper divisors (6644542752).

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

2552715648 is a wasteful number, since it uses less digits than its factorization.

2552715648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2119 (or 2098 counting only the distinct ones).

The product of its digits is 672000, while the sum is 45.

The square root of 2552715648 is about 50524.4064586611. The cubic root of 2552715648 is about 1366.6820177798.

The spelling of 2552715648 in words is "two billion, five hundred fifty-two million, seven hundred fifteen thousand, six hundred forty-eight".