2400848640 has 288 divisors, whose sum is σ = 8602460160. Its totient is φ = 634023936.

The previous prime is 2400848623. The next prime is 2400848657. The reversal of 2400848640 is 468480042.

2400848640 is a `hidden beast` number, since 2 + 4 + 0 + 0 + 8 + 4 + 8 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (2400848623) and next prime (2400848657).

It is a tau number, because it is divible by the number of its divisors (288).

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 Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2400848595 and 2400848604.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4388847 + ... + 4389393.

Almost surely, 2^2400848640 is an apocalyptic number.

2400848640 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 2400848640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4301230080).

2400848640 is an abundant number, since it is smaller than the sum of its proper divisors (6201611520).

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

2400848640 is a wasteful number, since it uses less digits than its factorization.

2400848640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 2400848640 is about 48998.4554858620. The cubic root of 2400848640 is about 1339.0236892285.

The spelling of 2400848640 in words is "two billion, four hundred million, eight hundred forty-eight thousand, six hundred forty".