2400401610 has 96 divisors (see below), whose sum is σ = 6505694208. Its totient is φ = 613370880.

The previous prime is 2400401609. The next prime is 2400401629. The reversal of 2400401610 is 161040042.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 283194 + ... + 291546.

It is an arithmetic number, because the mean of its divisors is an integer number (67767648).

Almost surely, 2^2400401610 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2400401610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3252847104).

2400401610 is an abundant number, since it is smaller than the sum of its proper divisors (4105292598).

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

2400401610 is a wasteful number, since it uses less digits than its factorization.

2400401610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8500 (or 8497 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2400401610 is about 48993.8935991007. The cubic root of 2400401610 is about 1338.9405768233.

Adding to 2400401610 its reverse (161040042), we get a palindrome (2561441652).

The spelling of 2400401610 in words is "two billion, four hundred million, four hundred one thousand, six hundred ten".