2631620 has 12 divisors (see below), whose sum is σ = 5526444. Its totient is φ = 1052640.

The previous prime is 2631581. The next prime is 2631631. The reversal of 2631620 is 261362.

2631620 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 732736 + 1898884 = 856^2 + 1378^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 131581 = 2631620 / (2 + 6 + 3 + 1 + 6 + 2 + 0).

It is a d-powerful number, because it can be written as 2¹⁹ + 6³ + 3⁷ + 1 + 6⁵ + 2²¹ + 0 .

It is a junction number, because it is equal to n+sod(n) for n = 2631592 and 2631601.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 65771 + ... + 65810.

It is an arithmetic number, because the mean of its divisors is an integer number (460537).

2^2631620 is an apocalyptic number.

2631620 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2631620 is an abundant number, since it is smaller than the sum of its proper divisors (2894824).

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

2631620 is a wasteful number, since it uses less digits than its factorization.

2631620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131590 (or 131588 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 2631620 is about 1622.2268645291. The cubic root of 2631620 is about 138.0620738737.

Adding to 2631620 its reverse (261362), we get a palindrome (2892982).

The spelling of 2631620 in words is "two million, six hundred thirty-one thousand, six hundred twenty".