2630920 has 64 divisors (see below), whose sum is σ = 6473520. Its totient is φ = 958464.

The previous prime is 2630917. The next prime is 2630921. The reversal of 2630920 is 290362.

It can be written as a sum of positive squares in 8 ways, for example, as 1887876 + 743044 = 1374^2 + 862^2 .

It is a d-powerful number, because it can be written as 2¹¹ + 6² + 3⁵ + 0 + 9⁶ + 2²¹ + 0 .

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 2630891 and 2630900.

It is not an unprimeable number, because it can be changed into a prime (2630921) 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, 36004 + ... + 36076.

2^2630920 is an apocalyptic number.

2630920 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 2630920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3236760).

2630920 is an abundant number, since it is smaller than the sum of its proper divisors (3842600).

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

2630920 is a wasteful number, since it uses less digits than its factorization.

2630920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 2630920 is about 1622.0110973726. The cubic root of 2630920 is about 138.0498314752.

The spelling of 2630920 in words is "two million, six hundred thirty thousand, nine hundred twenty".