2364396480 has 280 divisors, whose sum is σ = 8855080080. Its totient is φ = 597196800.

The previous prime is 2364396479. The next prime is 2364396511. The reversal of 2364396480 is 846934632.

2364396480 is a `hidden beast` number, since 23 + 64 + 3 + 96 + 480 = 666.

2364396480 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 490080 + ... + 494880.

It is an arithmetic number, because the mean of its divisors is an integer number (31625286).

Almost surely, 2^2364396480 is an apocalyptic number.

2364396480 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 2364396480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4427540040).

2364396480 is an abundant number, since it is smaller than the sum of its proper divisors (6490683600).

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

2364396480 is a wasteful number, since it uses less digits than its factorization.

2364396480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4849 (or 4830 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The square root of 2364396480 is about 48625.0602056183. The cubic root of 2364396480 is about 1332.2122865937.

The spelling of 2364396480 in words is "two billion, three hundred sixty-four million, three hundred ninety-six thousand, four hundred eighty".