2400761664 has 126 divisors (see below), whose sum is σ = 8004929634. Its totient is φ = 685923840.

The previous prime is 2400761659. The next prime is 2400761669. The reversal of 2400761664 is 4661670042.

It is an interprime number because it is at equal distance from previous prime (2400761659) and next prime (2400761669).

It can be written as a sum of positive squares in only one way, i.e., 2373638400 + 27123264 = 48720^2 + 5208^2 .

It is a tau number, because it is divible by the number of its divisors (126).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2400761669) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 14307 + ... + 70754.

Almost surely, 2^2400761664 is an apocalyptic number.

2400761664 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 2400761664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4002464817).

2400761664 is an abundant number, since it is smaller than the sum of its proper divisors (5604167970).

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

2400761664 is a wasteful number, since it uses less digits than its factorization.

2400761664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85093 (or 85073 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2400761664 is about 48997.5679396437. The cubic root of 2400761664 is about 1339.0075193447.

The spelling of 2400761664 in words is "two billion, four hundred million, seven hundred sixty-one thousand, six hundred sixty-four".