2409720 has 64 divisors (see below), whose sum is σ = 7413120. Its totient is φ = 626304.

The previous prime is 2409709. The next prime is 2409727. The reversal of 2409720 is 279042.

2409720 = 51² + 52² + ... + 194².

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2409727) 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, 4927 + ... + 5393.

It is an arithmetic number, because the mean of its divisors is an integer number (115830).

2^2409720 is an apocalyptic number.

2409720 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 2409720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3706560).

2409720 is an abundant number, since it is smaller than the sum of its proper divisors (5003400).

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

2409720 is a wasteful number, since it uses less digits than its factorization.

2409720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 2409720 is about 1552.3272850788. The cubic root of 2409720 is about 134.0670934522.

The spelling of 2409720 in words is "two million, four hundred nine thousand, seven hundred twenty".