2502772272 has 480 divisors, whose sum is σ = 9554388480. Its totient is φ = 590561280.

The previous prime is 2502772267. The next prime is 2502772277. The reversal of 2502772272 is 2722772052.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2502772267) and next prime (2502772277).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2502772277) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 13981879 + ... + 13982057.

It is an arithmetic number, because the mean of its divisors is an integer number (19904976).

Almost surely, 2^2502772272 is an apocalyptic number.

2502772272 is a gapful number since it is divisible by the number (22) 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 2502772272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4777194240).

2502772272 is an abundant number, since it is smaller than the sum of its proper divisors (7051616208).

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

2502772272 is a wasteful number, since it uses less digits than its factorization.

2502772272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 54880, while the sum is 36.

The square root of 2502772272 is about 50027.7150387663. The cubic root of 2502772272 is about 1357.7102965718.

The spelling of 2502772272 in words is "two billion, five hundred two million, seven hundred seventy-two thousand, two hundred seventy-two".