2428370064 has 80 divisors (see below), whose sum is σ = 6986606400. Its totient is φ = 807565824.

The previous prime is 2428370053. The next prime is 2428370081. The reversal of 2428370064 is 4600738242.

2428370064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 185032 + ... + 197720.

It is an arithmetic number, because the mean of its divisors is an integer number (87332580).

Almost surely, 2^2428370064 is an apocalyptic number.

2428370064 is a gapful number since it is divisible by the number (24) 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 2428370064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3493303200).

2428370064 is an abundant number, since it is smaller than the sum of its proper divisors (4558236336).

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

2428370064 is a wasteful number, since it uses less digits than its factorization.

2428370064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13149 (or 13137 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 2428370064 is about 49278.4949445496. The cubic root of 2428370064 is about 1344.1207640210.

The spelling of 2428370064 in words is "two billion, four hundred twenty-eight million, three hundred seventy thousand, sixty-four".