2617920 has 140 divisors (see below), whose sum is σ = 9404604. Its totient is φ = 691200.

The previous prime is 2617907. The next prime is 2617957. The reversal of 2617920 is 297162.

It can be written as a sum of positive squares in 2 ways, for example, as 1871424 + 746496 = 1368^2 + 864^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is a zygodrome in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 25870 + ... + 25970.

2^2617920 is an apocalyptic number.

2617920 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 2617920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4702302).

2617920 is an abundant number, since it is smaller than the sum of its proper divisors (6786684).

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

2617920 is a wasteful number, since it uses less digits than its factorization.

2617920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 2617920 is about 1617.9987639056. The cubic root of 2617920 is about 137.8220769410.

The spelling of 2617920 in words is "two million, six hundred seventeen thousand, nine hundred twenty".