2455116440 has 128 divisors (see below), whose sum is σ = 6487050240. Its totient is φ = 818797056.

The previous prime is 2455116431. The next prime is 2455116467. The reversal of 2455116440 is 446115542.

It is a junction number, because it is equal to n+sod(n) for n = 2455116397 and 2455116406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2592047 + ... + 2592993.

It is an arithmetic number, because the mean of its divisors is an integer number (50680080).

Almost surely, 2^2455116440 is an apocalyptic number.

2455116440 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 2455116440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3243525120).

2455116440 is an abundant number, since it is smaller than the sum of its proper divisors (4031933800).

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

2455116440 is a wasteful number, since it uses less digits than its factorization.

2455116440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1209 (or 1205 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

The square root of 2455116440 is about 49549.1315766482. The cubic root of 2455116440 is about 1349.0375288837.

The spelling of 2455116440 in words is "two billion, four hundred fifty-five million, one hundred sixteen thousand, four hundred forty".