2457532000 has 384 divisors, whose sum is σ = 7698862080. Its totient is φ = 748800000.

The previous prime is 2457531997. The next prime is 2457532003. The reversal of 2457532000 is 2357542.

2457532000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2457531997) and next prime (2457532003).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 2457532000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2457532003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24331950 + ... + 24332050.

It is an arithmetic number, because the mean of its divisors is an integer number (20049120).

Almost surely, 2^2457532000 is an apocalyptic number.

2457532000 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 2457532000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3849431040).

2457532000 is an abundant number, since it is smaller than the sum of its proper divisors (5241330080).

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

2457532000 is a wasteful number, since it uses less digits than its factorization.

2457532000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 28.

The square root of 2457532000 is about 49573.5009859098. The cubic root of 2457532000 is about 1349.4798178790.

Adding to 2457532000 its reverse (2357542), we get a palindrome (2459889542).

The spelling of 2457532000 in words is "two billion, four hundred fifty-seven million, five hundred thirty-two thousand".