2455356240 has 400 divisors, whose sum is σ = 9333688320. Its totient is φ = 595537920.

The previous prime is 2455356227. The next prime is 2455356251. The reversal of 2455356240 is 426535542.

2455356240 is a `hidden beast` number, since 2 + 4 + 5 + 53 + 562 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2455356195 and 2455356204.

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 79 ways as a sum of consecutive naturals, for example, 3414601 + ... + 3415319.

Almost surely, 2^2455356240 is an apocalyptic number.

2455356240 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 2455356240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4666844160).

2455356240 is an abundant number, since it is smaller than the sum of its proper divisors (6878332080).

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

2455356240 is a wasteful number, since it uses less digits than its factorization.

2455356240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The square root of 2455356240 is about 49551.5513379753. The cubic root of 2455356240 is about 1349.0814492265.

The spelling of 2455356240 in words is "two billion, four hundred fifty-five million, three hundred fifty-six thousand, two hundred forty".