2455038720 has 288 divisors, whose sum is σ = 8829589440. Its totient is φ = 653930496.

The previous prime is 2455038683. The next prime is 2455038743. The reversal of 2455038720 is 278305542.

2455038720 is a `hidden beast` number, since 2 + 4 + 550 + 3 + 87 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2798922 + ... + 2799798.

Almost surely, 2^2455038720 is an apocalyptic number.

2455038720 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 2455038720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4414794720).

2455038720 is an abundant number, since it is smaller than the sum of its proper divisors (6374550720).

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

2455038720 is an frugal number, since it uses more digits than its factorization.

2455038720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 919 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 2455038720 is about 49548.3472983711. The cubic root of 2455038720 is about 1349.0232935367.

The spelling of 2455038720 in words is "two billion, four hundred fifty-five million, thirty-eight thousand, seven hundred twenty".