2720138400 has 432 divisors, whose sum is σ = 11322275328. Its totient is φ = 601344000.

The previous prime is 2720138371. The next prime is 2720138411. The reversal of 2720138400 is 48310272.

2720138400 is a `hidden beast` number, since 27 + 201 + 38 + 400 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1561530 + ... + 1563270.

Almost surely, 2^2720138400 is an apocalyptic number.

2720138400 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 2720138400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5661137664).

2720138400 is an abundant number, since it is smaller than the sum of its proper divisors (8602136928).

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

2720138400 is a wasteful number, since it uses less digits than its factorization.

2720138400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1805 (or 1789 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2720138400 is about 52154.9460741740. The cubic root of 2720138400 is about 1395.9300846478.

Adding to 2720138400 its reverse (48310272), we get a palindrome (2768448672).

The spelling of 2720138400 in words is "two billion, seven hundred twenty million, one hundred thirty-eight thousand, four hundred".