2628972 has 36 divisors (see below), whose sum is σ = 6719440. Its totient is φ = 866592.

The previous prime is 2628953. The next prime is 2628979. The reversal of 2628972 is 2798262.

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

It is a super-2 number, since 2×2628972² = 13822987553568, which contains 22 as substring.

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

It is a d-powerful number, because it can be written as 2⁴ + 6² + 2⁸ + 8² + 9⁶ + 7 + 2²¹ .

It is not an unprimeable number, because it can be changed into a prime (2628979) 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, 3354 + ... + 4062.

2^2628972 is an apocalyptic number.

It is an amenable number.

2628972 is an abundant number, since it is smaller than the sum of its proper divisors (4090468).

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

2628972 is a wasteful number, since it uses less digits than its factorization.

2628972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822 (or 817 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 2628972 is about 1621.4104970673. The cubic root of 2628972 is about 138.0157511952.

It can be divided in two parts, 2628 and 972, that added together give a square (3600 = 60²).

The spelling of 2628972 in words is "two million, six hundred twenty-eight thousand, nine hundred seventy-two".