2409920 has 56 divisors (see below), whose sum is σ = 6089904. Its totient is φ = 905216.

The previous prime is 2409907. The next prime is 2409947. The reversal of 2409920 is 299042.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 2409920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5219 + ... + 5661.

2^2409920 is an apocalyptic number.

2409920 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 2409920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3044952).

2409920 is an abundant number, since it is smaller than the sum of its proper divisors (3679984).

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

2409920 is a wasteful number, since it uses less digits than its factorization.

2409920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 2409920 is about 1552.3917031471. The cubic root of 2409920 is about 134.0708024138.

It can be divided in two parts, 2 and 409920, that multiplied together give a triangular number (819840 = T₁₂₈₀).

The spelling of 2409920 in words is "two million, four hundred nine thousand, nine hundred twenty".