2721542400 has 324 divisors, whose sum is σ = 10000930212. Its totient is φ = 705576960.

The previous prime is 2721542399. The next prime is 2721542431. The reversal of 2721542400 is 42451272.

2721542400 is a `hidden beast` number, since 2 + 7 + 215 + 42 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 73822464 + 2647719936 = 8592^2 + 51456^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2130562 + ... + 2131838.

Almost surely, 2^2721542400 is an apocalyptic number.

2721542400 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 2721542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5000465106).

2721542400 is an abundant number, since it is smaller than the sum of its proper divisors (7279387812).

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

2721542400 is a wasteful number, since it uses less digits than its factorization.

2721542400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1346 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 2721542400 is about 52168.4042309136. The cubic root of 2721542400 is about 1396.1702132061.

Adding to 2721542400 its reverse (42451272), we get a palindrome (2763993672).

The spelling of 2721542400 in words is "two billion, seven hundred twenty-one million, five hundred forty-two thousand, four hundred".