2360406048 has 576 divisors, whose sum is σ = 8832136320. Its totient is φ = 546416640.

The previous prime is 2360406007. The next prime is 2360406049. The reversal of 2360406048 is 8406040632.

It is a super-2 number, since 2×2360406048² = 11143033422869956608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (2360406049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 81393298 + ... + 81393326.

It is an arithmetic number, because the mean of its divisors is an integer number (15333570).

Almost surely, 2^2360406048 is an apocalyptic number.

2360406048 is a gapful number since it is divisible by the number (28) 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 2360406048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4416068160).

2360406048 is an abundant number, since it is smaller than the sum of its proper divisors (6471730272).

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

2360406048 is a wasteful number, since it uses less digits than its factorization.

2360406048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 2360406048 is about 48584.0102091213. The cubic root of 2360406048 is about 1331.4623988199.

The spelling of 2360406048 in words is "two billion, three hundred sixty million, four hundred six thousand, forty-eight".