2534732200 has 288 divisors, whose sum is σ = 7979489280. Its totient is φ = 728640000.

The previous prime is 2534732197. The next prime is 2534732203. The reversal of 2534732200 is 22374352.

It is an interprime number because it is at equal distance from previous prime (2534732197) and next prime (2534732203).

It is a hoax number, since the sum of its digits (28) 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 (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2534732203) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2201625 + ... + 2202775.

It is an arithmetic number, because the mean of its divisors is an integer number (27706560).

Almost surely, 2^2534732200 is an apocalyptic number.

2534732200 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 2534732200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3989744640).

2534732200 is an abundant number, since it is smaller than the sum of its proper divisors (5444757080).

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

2534732200 is a wasteful number, since it uses less digits than its factorization.

2534732200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1209 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 28.

The square root of 2534732200 is about 50346.1239818916. The cubic root of 2534732200 is about 1363.4651041759.

The spelling of 2534732200 in words is "two billion, five hundred thirty-four million, seven hundred thirty-two thousand, two hundred".