2400720 has 80 divisors (see below), whose sum is σ = 8511360. Its totient is φ = 548352.

The previous prime is 2400719. The next prime is 2400767. The reversal of 2400720 is 270042.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

2400720 is a modest number, since divided by 720 gives 240 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 2400720.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 966 + ... + 2394.

It is an arithmetic number, because the mean of its divisors is an integer number (106392).

2^2400720 is an apocalyptic number.

2400720 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 2400720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4255680).

2400720 is an abundant number, since it is smaller than the sum of its proper divisors (6110640).

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

2400720 is a wasteful number, since it uses less digits than its factorization.

2400720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1452 (or 1446 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 15.

The square root of 2400720 is about 1549.4257000579. The cubic root of 2400720 is about 133.8999773368.

Adding to 2400720 its reverse (270042), we get a palindrome (2670762).

It can be divided in two parts, 2400 and 720, that multiplied together give a cube (1728000 = 120³).

The spelling of 2400720 in words is "two million, four hundred thousand, seven hundred twenty".