2428240815 has 384 divisors, whose sum is σ = 6287984640. Its totient is φ = 870912000.

The previous prime is 2428240813. The next prime is 2428240861. The reversal of 2428240815 is 5180428242.

2428240815 is a `hidden beast` number, since 242 + 8 + 2 + 408 + 1 + 5 = 666.

It is not a de Polignac number, because 2428240815 - 2¹ = 2428240813 is a prime.

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 self number, because there is not a number n which added to its sum of digits gives 2428240815.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2428240813) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 16080990 + ... + 16081140.

It is an arithmetic number, because the mean of its divisors is an integer number (16374960).

Almost surely, 2^2428240815 is an apocalyptic number.

2428240815 is an abundant number, since it is smaller than the sum of its proper divisors (3859743825).

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

2428240815 is a wasteful number, since it uses less digits than its factorization.

2428240815 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 2428240815 is about 49277.1835132650. The cubic root of 2428240815 is about 1344.0969168392.

The spelling of 2428240815 in words is "two billion, four hundred twenty-eight million, two hundred forty thousand, eight hundred fifteen".