2720378400 has 144 divisors (see below), whose sum is σ = 8936928000. Its totient is φ = 718709760.

The previous prime is 2720378399. The next prime is 2720378443. The reversal of 2720378400 is 48730272.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 256401 + ... + 266799.

It is an arithmetic number, because the mean of its divisors is an integer number (62062000).

Almost surely, 2^2720378400 is an apocalyptic number.

2720378400 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 2720378400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4468464000).

2720378400 is an abundant number, since it is smaller than the sum of its proper divisors (6216549600).

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

2720378400 is a wasteful number, since it uses less digits than its factorization.

2720378400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10531 (or 10518 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 2720378400 is about 52157.2468598564. The cubic root of 2720378400 is about 1395.9711381186.

The spelling of 2720378400 in words is "two billion, seven hundred twenty million, three hundred seventy-eight thousand, four hundred".