2725466400 has 576 divisors, whose sum is σ = 10780560000. Its totient is φ = 661893120.

The previous prime is 2725466383. The next prime is 2725466407. The reversal of 2725466400 is 46645272.

2725466400 is a `hidden beast` number, since 2 + 7 + 2 + 5 + 4 + 6 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2725466407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11901486 + ... + 11901714.

It is an arithmetic number, because the mean of its divisors is an integer number (18716250).

Almost surely, 2^2725466400 is an apocalyptic number.

2725466400 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 2725466400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5390280000).

2725466400 is an abundant number, since it is smaller than the sum of its proper divisors (8055093600).

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

2725466400 is a wasteful number, since it uses less digits than its factorization.

2725466400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 2725466400 is about 52205.9996552120. Note that the first 3 decimals coincide. The cubic root of 2725466400 is about 1396.8409040820.

Adding to 2725466400 its sum of digits (36), we get a square (2725466436 = 52206²).

The spelling of 2725466400 in words is "two billion, seven hundred twenty-five million, four hundred sixty-six thousand, four hundred".