2720460600 has 576 divisors, whose sum is σ = 11110003200. Its totient is φ = 606528000.

The previous prime is 2720460593. The next prime is 2720460607. The reversal of 2720460600 is 60640272.

2720460600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2720460593) and next prime (2720460607).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2720460607) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10038465 + ... + 10038735.

It is an arithmetic number, because the mean of its divisors is an integer number (19288200).

Almost surely, 2^2720460600 is an apocalyptic number.

2720460600 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 2720460600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5555001600).

2720460600 is an abundant number, since it is smaller than the sum of its proper divisors (8389542600).

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

2720460600 is a wasteful number, since it uses less digits than its factorization.

2720460600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 2720460600 is about 52158.0348556193. The cubic root of 2720460600 is about 1395.9851983773.

The spelling of 2720460600 in words is "two billion, seven hundred twenty million, four hundred sixty thousand, six hundred".