2612940 has 96 divisors (see below), whose sum is σ = 8273664. Its totient is φ = 610560.

The previous prime is 2612927. The next prime is 2612947. The reversal of 2612940 is 492162.

2612940 = 568² + 569² + ... + 575².

It is a self number, because there is not a number n which added to its sum of digits gives 2612940.

It is not an unprimeable number, because it can be changed into a prime (2612947) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24367 + ... + 24473.

It is an arithmetic number, because the mean of its divisors is an integer number (86184).

2^2612940 is an apocalyptic number.

2612940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2612940 is the 1320-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2612940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4136832).

2612940 is an abundant number, since it is smaller than the sum of its proper divisors (5660724).

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

2612940 is a wasteful number, since it uses less digits than its factorization.

2612940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 165 counting only the distinct ones).

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

The square root of 2612940 is about 1616.4590932034. The cubic root of 2612940 is about 137.7346297037.

The spelling of 2612940 in words is "two million, six hundred twelve thousand, nine hundred forty".