2398734000 has 800 divisors, whose sum is σ = 10027233216. Its totient is φ = 547430400.

The previous prime is 2398733999. The next prime is 2398734001. The reversal of 2398734000 is 4378932.

2398734000 is a `hidden beast` number, since 239 + 87 + 340 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2398733999) and next prime (2398734001).

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 (2398734001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 35801967 + ... + 35802033.

Almost surely, 2^2398734000 is an apocalyptic number.

2398734000 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 2398734000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5013616608).

2398734000 is an abundant number, since it is smaller than the sum of its proper divisors (7628499216).

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

2398734000 is a wasteful number, since it uses less digits than its factorization.

2398734000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 2398734000 is about 48976.8720928562. The cubic root of 2398734000 is about 1338.6304415039.

The spelling of 2398734000 in words is "two billion, three hundred ninety-eight million, seven hundred thirty-four thousand".