2389254400 has 243 divisors, whose sum is σ = 6542824071. Its totient is φ = 863416320.

The previous prime is 2389254397. The next prime is 2389254401. The reversal of 2389254400 is 44529832.

It is a happy number.

The square root of 2389254400 is 48880.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 615833856 + 1773420544 = 24816^2 + 42112^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2389254400.

It is not an unprimeable number, because it can be changed into a prime (2389254401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 50835177 + ... + 50835223.

Almost surely, 2^2389254400 is an apocalyptic number.

2389254400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2389254400 is the 48880-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2389254400

2389254400 is an abundant number, since it is smaller than the sum of its proper divisors (4153569671).

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

2389254400 is an equidigital number, since it uses as much as digits as its factorization.

2389254400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The cubic root of 2389254400 is about 1336.8647275726.

The spelling of 2389254400 in words is "two billion, three hundred eighty-nine million, two hundred fifty-four thousand, four hundred".