2534576352 has 432 divisors, whose sum is σ = 8764970256. Its totient is φ = 638668800.

The previous prime is 2534576347. The next prime is 2534576357. The reversal of 2534576352 is 2536754352.

It is an interprime number because it is at equal distance from previous prime (2534576347) and next prime (2534576357).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2534576357) 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, 34720188 + ... + 34720260.

It is an arithmetic number, because the mean of its divisors is an integer number (20289283).

Almost surely, 2^2534576352 is an apocalyptic number.

2534576352 is a gapful number since it is divisible by the number (22) 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 2534576352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4382485128).

2534576352 is an abundant number, since it is smaller than the sum of its proper divisors (6230393904).

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

2534576352 is a wasteful number, since it uses less digits than its factorization.

2534576352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 157 counting only the distinct ones).

The product of its digits is 756000, while the sum is 42.

The square root of 2534576352 is about 50344.5761924758. The cubic root of 2534576352 is about 1363.4371593875.

The spelling of 2534576352 in words is "two billion, five hundred thirty-four million, five hundred seventy-six thousand, three hundred fifty-two".