2661245824 has 128 divisors (see below), whose sum is σ = 5776790400. Its totient is φ = 1216610304.

The previous prime is 2661245789. The next prime is 2661245827. The reversal of 2661245824 is 4285421662.

2661245824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

Its product of digits (184320) is a multiple of the sum of its prime factors (360).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2661245827) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19425084 + ... + 19425220.

It is an arithmetic number, because the mean of its divisors is an integer number (45131175).

Almost surely, 2^2661245824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2661245824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2888395200).

2661245824 is an abundant number, since it is smaller than the sum of its proper divisors (3115544576).

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

2661245824 is a wasteful number, since it uses less digits than its factorization.

2661245824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 348 counting only the distinct ones).

The product of its digits is 184320, while the sum is 40.

The square root of 2661245824 is about 51587.2641647141. The cubic root of 2661245824 is about 1385.7822606741.

The spelling of 2661245824 in words is "two billion, six hundred sixty-one million, two hundred forty-five thousand, eight hundred twenty-four".