2749697328 has 240 divisors, whose sum is σ = 8938475520. Its totient is φ = 723727872.

The previous prime is 2749697323. The next prime is 2749697333. The reversal of 2749697328 is 8237969472.

It is an interprime number because it is at equal distance from previous prime (2749697323) and next prime (2749697333).

It is a super-2 number, since 2×2749697328² = 15121670791220679168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (2749697323) 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, 1652625 + ... + 1654287.

It is an arithmetic number, because the mean of its divisors is an integer number (37243648).

Almost surely, 2^2749697328 is an apocalyptic number.

2749697328 is a gapful number since it is divisible by the number (28) 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 2749697328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4469237760).

2749697328 is an abundant number, since it is smaller than the sum of its proper divisors (6188778192).

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

2749697328 is a wasteful number, since it uses less digits than its factorization.

2749697328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1744 (or 1731 counting only the distinct ones).

The product of its digits is 9144576, while the sum is 57.

The square root of 2749697328 is about 52437.5564648087. The cubic root of 2749697328 is about 1400.9682635116.

The spelling of 2749697328 in words is "two billion, seven hundred forty-nine million, six hundred ninety-seven thousand, three hundred twenty-eight".