2402201664 has 112 divisors (see below), whose sum is σ = 7151827200. Its totient is φ = 790553088.

The previous prime is 2402201663. The next prime is 2402201693. The reversal of 2402201664 is 4661022042.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2402201663) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 127714 + ... + 145310.

It is an arithmetic number, because the mean of its divisors is an integer number (63855600).

Almost surely, 2^2402201664 is an apocalyptic number.

2402201664 is a gapful number since it is divisible by the number (24) 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 2402201664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3575913600).

2402201664 is an abundant number, since it is smaller than the sum of its proper divisors (4749625536).

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

2402201664 is a wasteful number, since it uses less digits than its factorization.

2402201664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17697 (or 17681 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2402201664 is about 49012.2603437140. The cubic root of 2402201664 is about 1339.2751823775.

The spelling of 2402201664 in words is "two billion, four hundred two million, two hundred one thousand, six hundred sixty-four".