2509134264 has 192 divisors, whose sum is σ = 8440286400. Its totient is φ = 655699968.

The previous prime is 2509134263. The next prime is 2509134337. The reversal of 2509134264 is 4624319052.

It is a happy number.

2509134264 is a `hidden beast` number, since 250 + 9 + 1 + 342 + 64 = 666.

2509134264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (2509134263) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 738682 + ... + 742070.

It is an arithmetic number, because the mean of its divisors is an integer number (43959825).

Almost surely, 2^2509134264 is an apocalyptic number.

2509134264 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 2509134264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4220143200).

2509134264 is an abundant number, since it is smaller than the sum of its proper divisors (5931152136).

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

2509134264 is a wasteful number, since it uses less digits than its factorization.

2509134264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3534 (or 3527 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 2509134264 is about 50091.2593572971. The cubic root of 2509134264 is about 1358.8597463875.

The spelling of 2509134264 in words is "two billion, five hundred nine million, one hundred thirty-four thousand, two hundred sixty-four".