2912640 has 128 divisors (see below), whose sum is σ = 9767520. Its totient is φ = 737280.

The previous prime is 2912621. The next prime is 2912641. The reversal of 2912640 is 462192.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2912640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2912641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71020 + ... + 71060.

2^2912640 is an apocalyptic number.

2912640 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 2912640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4883760).

2912640 is an abundant number, since it is smaller than the sum of its proper divisors (6854880).

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

2912640 is a wasteful number, since it uses less digits than its factorization.

2912640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 2912640 is about 1706.6458332062. The cubic root of 2912640 is about 142.8112004648.

The spelling of 2912640 in words is "two million, nine hundred twelve thousand, six hundred forty".