2874240 has 96 divisors (see below), whose sum is σ = 9945000. Its totient is φ = 764928.

The previous prime is 2874217. The next prime is 2874251. The reversal of 2874240 is 424782.

2874240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2874240² = 16522511155200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 5511 + ... + 6009.

2^2874240 is an apocalyptic number.

2874240 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 2874240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4972500).

2874240 is an abundant number, since it is smaller than the sum of its proper divisors (7070760).

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

2874240 is a wasteful number, since it uses less digits than its factorization.

2874240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 2874240 is about 1695.3583691951. The cubic root of 2874240 is about 142.1808183875.

It can be divided in two parts, 28742 and 40, that added together give a palindrome (28782).

The spelling of 2874240 in words is "two million, eight hundred seventy-four thousand, two hundred forty".