2462720720 has 80 divisors (see below), whose sum is σ = 6103776000. Its totient is φ = 921383424.

The previous prime is 2462720707. The next prime is 2462720749. The reversal of 2462720720 is 270272642.

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

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, 109826 + ... + 130334.

It is an arithmetic number, because the mean of its divisors is an integer number (76297200).

Almost surely, 2^2462720720 is an apocalyptic number.

2462720720 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 2462720720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3051888000).

2462720720 is an abundant number, since it is smaller than the sum of its proper divisors (3641055280).

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

2462720720 is a wasteful number, since it uses less digits than its factorization.

2462720720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20620 (or 20614 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 32.

The square root of 2462720720 is about 49625.8069959573. The cubic root of 2462720720 is about 1350.4288934477.

The spelling of 2462720720 in words is "two billion, four hundred sixty-two million, seven hundred twenty thousand, seven hundred twenty".