2548815360 has 480 divisors, whose sum is σ = 10227282912. Its totient is φ = 536739840.

The previous prime is 2548815329. The next prime is 2548815361. The reversal of 2548815360 is 635188452.

2548815360 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2548815361) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4891900 + ... + 4892420.

Almost surely, 2^2548815360 is an apocalyptic number.

2548815360 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 2548815360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5113641456).

2548815360 is an abundant number, since it is smaller than the sum of its proper divisors (7678467552).

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

2548815360 is a wasteful number, since it uses less digits than its factorization.

2548815360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The square root of 2548815360 is about 50485.7936453415. The cubic root of 2548815360 is about 1365.9856129426.

The spelling of 2548815360 in words is "two billion, five hundred forty-eight million, eight hundred fifteen thousand, three hundred sixty".