2455238016 has 384 divisors, whose sum is σ = 8936179200. Its totient is φ = 628531200.

The previous prime is 2455238003. The next prime is 2455238021. The reversal of 2455238016 is 6108325542.

2455238016 is a `hidden beast` number, since 2 + 45 + 523 + 80 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7894501 + ... + 7894811.

It is an arithmetic number, because the mean of its divisors is an integer number (23271300).

Almost surely, 2^2455238016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2455238016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4468089600).

2455238016 is an abundant number, since it is smaller than the sum of its proper divisors (6480941184).

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

2455238016 is a wasteful number, since it uses less digits than its factorization.

2455238016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 423 counting only the distinct ones).

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

The square root of 2455238016 is about 49550.3583841732. The cubic root of 2455238016 is about 1349.0597963787.

It can be divided in two parts, 2455 and 238016, that added together give a triangular number (240471 = T₆₉₃).

The spelling of 2455238016 in words is "two billion, four hundred fifty-five million, two hundred thirty-eight thousand, sixteen".