2723057400 has 288 divisors, whose sum is σ = 10249165440. Its totient is φ = 595203840.

The previous prime is 2723057383. The next prime is 2723057401. The reversal of 2723057400 is 47503272.

2723057400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2723057401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 674187 + ... + 678213.

It is an arithmetic number, because the mean of its divisors is an integer number (35587380).

Almost surely, 2^2723057400 is an apocalyptic number.

2723057400 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 2723057400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5124582720).

2723057400 is an abundant number, since it is smaller than the sum of its proper divisors (7526108040).

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

2723057400 is a wasteful number, since it uses less digits than its factorization.

2723057400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4083 (or 4067 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 30.

The square root of 2723057400 is about 52182.9224938581. The cubic root of 2723057400 is about 1396.4292336676.

The spelling of 2723057400 in words is "two billion, seven hundred twenty-three million, fifty-seven thousand, four hundred".