2661032304 has 320 divisors, whose sum is σ = 9499392000. Its totient is φ = 695734272.

The previous prime is 2661032299. The next prime is 2661032329. The reversal of 2661032304 is 4032301662.

2661032304 is a `hidden beast` number, since 26 + 610 + 3 + 23 + 0 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1901397 + ... + 1902795.

It is an arithmetic number, because the mean of its divisors is an integer number (29685600).

Almost surely, 2^2661032304 is an apocalyptic number.

2661032304 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 2661032304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4749696000).

2661032304 is an abundant number, since it is smaller than the sum of its proper divisors (6838359696).

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

2661032304 is a wasteful number, since it uses less digits than its factorization.

2661032304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1477 (or 1465 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 2661032304 is about 51585.1946201621. The cubic root of 2661032304 is about 1385.7451978144.

Adding to 2661032304 its reverse (4032301662), we get a palindrome (6693333966).

The spelling of 2661032304 in words is "two billion, six hundred sixty-one million, thirty-two thousand, three hundred four".