2913840 has 160 divisors (see below), whose sum is σ = 10713600. Its totient is φ = 725760.

The previous prime is 2913811. The next prime is 2913863. The reversal of 2913840 is 483192.

It is a super-3 number, since 3×2913840³ = 74219556893133312000, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41005 + ... + 41075.

It is an arithmetic number, because the mean of its divisors is an integer number (66960).

2^2913840 is an apocalyptic number.

2913840 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 2913840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5356800).

2913840 is an abundant number, since it is smaller than the sum of its proper divisors (7799760).

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

2913840 is a wasteful number, since it uses less digits than its factorization.

2913840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2913840 is about 1706.9973637941. The cubic root of 2913840 is about 142.8308103846.

The spelling of 2913840 in words is "two million, nine hundred thirteen thousand, eight hundred forty".