2609264784 has 160 divisors (see below), whose sum is σ = 7935492096. Its totient is φ = 723340800.

The previous prime is 2609264759. The next prime is 2609264849. The reversal of 2609264784 is 4874629062.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2004934 + ... + 2006234.

Almost surely, 2^2609264784 is an apocalyptic number.

2609264784 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 2609264784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3967746048).

2609264784 is an abundant number, since it is smaller than the sum of its proper divisors (5326227312).

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

2609264784 is a wasteful number, since it uses less digits than its factorization.

2609264784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1493 (or 1487 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The square root of 2609264784 is about 51080.9630292930. The cubic root of 2609264784 is about 1376.7002278153.

The spelling of 2609264784 in words is "two billion, six hundred nine million, two hundred sixty-four thousand, seven hundred eighty-four".