2254395600 has 360 divisors, whose sum is σ = 8599181760. Its totient is φ = 544389120.

The previous prime is 2254395593. The next prime is 2254395643. The reversal of 2254395600 is 65934522.

2254395600 is a `hidden beast` number, since 2 + 2 + 5 + 43 + 9 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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, 1572484 + ... + 1573916.

It is an arithmetic number, because the mean of its divisors is an integer number (23886616).

Almost surely, 2^2254395600 is an apocalyptic number.

2254395600 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 2254395600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4299590880).

2254395600 is an abundant number, since it is smaller than the sum of its proper divisors (6344786160).

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

2254395600 is a wasteful number, since it uses less digits than its factorization.

2254395600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1499 (or 1485 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 2254395600 is about 47480.4759875046. The cubic root of 2254395600 is about 1311.2234554270.

The spelling of 2254395600 in words is "two billion, two hundred fifty-four million, three hundred ninety-five thousand, six hundred".