2400680160 has 384 divisors, whose sum is σ = 9015027840. Its totient is φ = 594542592.

The previous prime is 2400680129. The next prime is 2400680167. The reversal of 2400680160 is 610860042.

2400680160 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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2400680167) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7123512 + ... + 7123848.

It is an arithmetic number, because the mean of its divisors is an integer number (23476635).

Almost surely, 2^2400680160 is an apocalyptic number.

2400680160 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 2400680160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4507513920).

2400680160 is an abundant number, since it is smaller than the sum of its proper divisors (6614347680).

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

2400680160 is a wasteful number, since it uses less digits than its factorization.

2400680160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2400680160 is about 48996.7362178339. The cubic root of 2400680160 is about 1338.9923664169.

The spelling of 2400680160 in words is "two billion, four hundred million, six hundred eighty thousand, one hundred sixty".