2509149272 has 192 divisors, whose sum is σ = 6172200000. Its totient is φ = 952390656.

The previous prime is 2509149271. The next prime is 2509149277. The reversal of 2509149272 is 2729419052.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2509149271) 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, 16839854 + ... + 16840002.

It is an arithmetic number, because the mean of its divisors is an integer number (32146875).

Almost surely, 2^2509149272 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 2509149272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3086100000).

2509149272 is an abundant number, since it is smaller than the sum of its proper divisors (3663050728).

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

2509149272 is a wasteful number, since it uses less digits than its factorization.

2509149272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 41.

The square root of 2509149272 is about 50091.4091636480. The cubic root of 2509149272 is about 1358.8624556522.

The spelling of 2509149272 in words is "two billion, five hundred nine million, one hundred forty-nine thousand, two hundred seventy-two".