2721254400 has 528 divisors, whose sum is σ = 10396794880. Its totient is φ = 696729600.

The previous prime is 2721254357. The next prime is 2721254491. The reversal of 2721254400 is 44521272.

2721254400 is a `hidden beast` number, since 2 + 7 + 2 + 1 + 254 + 400 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21427137 + ... + 21427263.

Almost surely, 2^2721254400 is an apocalyptic number.

2721254400 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 2721254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5198397440).

2721254400 is an abundant number, since it is smaller than the sum of its proper divisors (7675540480).

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

2721254400 is a wasteful number, since it uses less digits than its factorization.

2721254400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 168 counting only the distinct ones).

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

The square root of 2721254400 is about 52165.6438664376. The cubic root of 2721254400 is about 1396.1209627999.

Adding to 2721254400 its reverse (44521272), we get a palindrome (2765775672).

The spelling of 2721254400 in words is "two billion, seven hundred twenty-one million, two hundred fifty-four thousand, four hundred".