2749114624 has 81 divisors (see below), whose sum is σ = 5733978523. Its totient is φ = 1315414016.

The previous prime is 2749114609. The next prime is 2749114639. The reversal of 2749114624 is 4264119472.

The square root of 2749114624 is 52432.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (2749114609) and next prime (2749114639).

It can be written as a sum of positive squares in 4 ways, for example, as 948640000 + 1800474624 = 30800^2 + 42432^2 .

It is a super-2 number, since 2×2749114624² = 15115262431781322752, which contains 22 as substring.

It is a Duffinian number.

Its product of digits (96768) is a multiple of the sum of its prime divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 24328392 + ... + 24328504.

Almost surely, 2^2749114624 is an apocalyptic number.

2749114624 is the 52432-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2749114624

2749114624 is an abundant number, since it is smaller than the sum of its proper divisors (2984863899).

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

2749114624 is an frugal number, since it uses more digits than its factorization.

2749114624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 144 counting only the distinct ones).

The product of its digits is 96768, while the sum is 40.

The cubic root of 2749114624 is about 1400.8692941360.

The spelling of 2749114624 in words is "two billion, seven hundred forty-nine million, one hundred fourteen thousand, six hundred twenty-four".