2752994400 has 144 divisors (see below), whose sum is σ = 9650413584. Its totient is φ = 677652480.

The previous prime is 2752994393. The next prime is 2752994411. The reversal of 2752994400 is 44992572.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 12919 + ... + 75318.

It is an arithmetic number, because the mean of its divisors is an integer number (67016761).

Almost surely, 2^2752994400 is an apocalyptic number.

2752994400 is a gapful number since it is divisible by the number (20) 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 2752994400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4825206792).

2752994400 is an abundant number, since it is smaller than the sum of its proper divisors (6897419184).

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

2752994400 is a wasteful number, since it uses less digits than its factorization.

2752994400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88273 (or 88260 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 2752994400 is about 52468.9851245476. The cubic root of 2752994400 is about 1401.5279915728.

The spelling of 2752994400 in words is "two billion, seven hundred fifty-two million, nine hundred ninety-four thousand, four hundred".