2649920 has 126 divisors (see below), whose sum is σ = 7948422. Its totient is φ = 838656.

The previous prime is 2649893. The next prime is 2649923. The reversal of 2649920 is 299462.

It can be written as a sum of positive squares in 3 ways, for example, as 12544 + 2637376 = 112^2 + 1624^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2649923) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 203834 + ... + 203846.

2^2649920 is an apocalyptic number.

2649920 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 2649920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3974211).

2649920 is an abundant number, since it is smaller than the sum of its proper divisors (5298502).

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

2649920 is a wasteful number, since it uses less digits than its factorization.

2649920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 2649920 is about 1627.8574876198. The cubic root of 2649920 is about 138.3813578196.

The spelling of 2649920 in words is "two million, six hundred forty-nine thousand, nine hundred twenty".