2400766368 has 576 divisors, whose sum is σ = 8919009792. Its totient is φ = 555448320.

The previous prime is 2400766343. The next prime is 2400766429. The reversal of 2400766368 is 8636670042.

It is a super-2 number, since 2×2400766368² = 11527358307439822848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 95 ways as a sum of consecutive naturals, for example, 28924855 + ... + 28924937.

It is an arithmetic number, because the mean of its divisors is an integer number (15484392).

Almost surely, 2^2400766368 is an apocalyptic number.

2400766368 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 2400766368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4459504896).

2400766368 is an abundant number, since it is smaller than the sum of its proper divisors (6518243424).

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

2400766368 is a wasteful number, since it uses less digits than its factorization.

2400766368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The square root of 2400766368 is about 48997.6159420027. The cubic root of 2400766368 is about 1339.0083938848.

The spelling of 2400766368 in words is "two billion, four hundred million, seven hundred sixty-six thousand, three hundred sixty-eight".