2612988 has 36 divisors (see below), whose sum is σ = 7549360. Its totient is φ = 746496.

The previous prime is 2612983. The next prime is 2612989. The reversal of 2612988 is 8892162.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2612983) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4933 + ... + 5436.

2^2612988 is an apocalyptic number.

2612988 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2612988 is an abundant number, since it is smaller than the sum of its proper divisors (4936372).

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

2612988 is a wasteful number, since it uses less digits than its factorization.

2612988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10386 (or 10381 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 2612988 is about 1616.4739404024. The cubic root of 2612988 is about 137.7354730987.

It can be divided in two parts, 2612 and 988, that added together give a square (3600 = 60²).

The spelling of 2612988 in words is "two million, six hundred twelve thousand, nine hundred eighty-eight".