2792400 has 120 divisors (see below), whose sum is σ = 9686880. Its totient is φ = 683520.

The previous prime is 2792399. The next prime is 2792401. The reversal of 2792400 is 42972.

2792400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2792399) and next prime (2792401).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2792401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15511 + ... + 15689.

It is an arithmetic number, because the mean of its divisors is an integer number (80724).

2^2792400 is an apocalyptic number.

2792400 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 2792400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4843440).

2792400 is an abundant number, since it is smaller than the sum of its proper divisors (6894480).

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

2792400 is a wasteful number, since it uses less digits than its factorization.

2792400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 2792400 is about 1671.0475756243. The cubic root of 2792400 is about 140.8183365410.

The spelling of 2792400 in words is "two million, seven hundred ninety-two thousand, four hundred".