2455914240 has 648 divisors, whose sum is σ = 9874580352. Its totient is φ = 559595520.

The previous prime is 2455914221. The next prime is 2455914259. The reversal of 2455914240 is 424195542.

It is a happy number.

2455914240 is a `hidden beast` number, since 2 + 45 + 591 + 4 + 24 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2455914221) and next prime (2455914259).

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 = 2455914195 and 2455914204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 79223025 + ... + 79223055.

Almost surely, 2^2455914240 is an apocalyptic number.

2455914240 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 2455914240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4937290176).

2455914240 is an abundant number, since it is smaller than the sum of its proper divisors (7418666112).

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

2455914240 is a wasteful number, since it uses less digits than its factorization.

2455914240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 2455914240 is about 49557.1815179193. The cubic root of 2455914240 is about 1349.1836381225.

The spelling of 2455914240 in words is "two billion, four hundred fifty-five million, nine hundred fourteen thousand, two hundred forty".