2368404480 has 352 divisors, whose sum is σ = 8459841600. Its totient is φ = 561512448.

The previous prime is 2368404463. The next prime is 2368404497. The reversal of 2368404480 is 844048632.

It is an interprime number because it is at equal distance from previous prime (2368404463) and next prime (2368404497).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5790516 + ... + 5790924.

Almost surely, 2^2368404480 is an apocalyptic number.

2368404480 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 2368404480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4229920800).

2368404480 is an abundant number, since it is smaller than the sum of its proper divisors (6091437120).

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

2368404480 is a wasteful number, since it uses less digits than its factorization.

2368404480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 39.

The square root of 2368404480 is about 48666.2560713273. The cubic root of 2368404480 is about 1332.9646269400.

The spelling of 2368404480 in words is "two billion, three hundred sixty-eight million, four hundred four thousand, four hundred eighty".