2455013600 has 144 divisors (see below), whose sum is σ = 6565361040. Its totient is φ = 890880000.

The previous prime is 2455013593. The next prime is 2455013611. The reversal of 2455013600 is 63105542.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 2455013600.

It is a congruent number.

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, 611600 + ... + 615600.

It is an arithmetic number, because the mean of its divisors is an integer number (45592785).

Almost surely, 2^2455013600 is an apocalyptic number.

2455013600 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 2455013600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3282680520).

2455013600 is an abundant number, since it is smaller than the sum of its proper divisors (4110347440).

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

2455013600 is a wasteful number, since it uses less digits than its factorization.

2455013600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4093 (or 4080 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 2455013600 is about 49548.0938079357. The cubic root of 2455013600 is about 1349.0186924442.

The spelling of 2455013600 in words is "two billion, four hundred fifty-five million, thirteen thousand, six hundred".