2462720 has 88 divisors (see below), whose sum is σ = 6534024. Its totient is φ = 884736.

The previous prime is 2462717. The next prime is 2462731. The reversal of 2462720 is 272642.

It can be written as a sum of positive squares in 4 ways, for example, as 295936 + 2166784 = 544^2 + 1472^2 .

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, 66542 + ... + 66578.

2^2462720 is an apocalyptic number.

2462720 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 2462720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3267012).

2462720 is an abundant number, since it is smaller than the sum of its proper divisors (4071304).

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

2462720 is a wasteful number, since it uses less digits than its factorization.

2462720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 2462720 is about 1569.3055789106. The cubic root of 2462720 is about 135.0428761844.

The spelling of 2462720 in words is "two million, four hundred sixty-two thousand, seven hundred twenty".