2469920 has 48 divisors (see below), whose sum is σ = 5987520. Its totient is φ = 962304.

The previous prime is 2469919. The next prime is 2469923. The reversal of 2469920 is 299642.

It is a super-2 number, since 2×2469920² = 12201009612800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2469923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6701 + ... + 7059.

It is an arithmetic number, because the mean of its divisors is an integer number (124740).

2^2469920 is an apocalyptic number.

2469920 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 2469920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2993760).

2469920 is an abundant number, since it is smaller than the sum of its proper divisors (3517600).

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

2469920 is a wasteful number, since it uses less digits than its factorization.

2469920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 409 counting only the distinct ones).

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

The square root of 2469920 is about 1571.5979129536. The cubic root of 2469920 is about 135.1743517749.

The spelling of 2469920 in words is "two million, four hundred sixty-nine thousand, nine hundred twenty".