2532023456 has 48 divisors (see below), whose sum is σ = 5195893248. Its totient is φ = 1213228800.

The previous prime is 2532023447. The next prime is 2532023477. The reversal of 2532023456 is 6543202352.

2532023456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2532023456² = 12822285563468367872, which contains 22 as substring.

It is a hoax number, since the sum of its digits (32) 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 (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89786 + ... + 114566.

It is an arithmetic number, because the mean of its divisors is an integer number (108247776).

Almost surely, 2^2532023456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2532023456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2597946624).

2532023456 is an abundant number, since it is smaller than the sum of its proper divisors (2663869792).

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

2532023456 is a wasteful number, since it uses less digits than its factorization.

2532023456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24925 (or 24917 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 32.

The square root of 2532023456 is about 50319.2155741721. The cubic root of 2532023456 is about 1362.9792416312.

The spelling of 2532023456 in words is "two billion, five hundred thirty-two million, twenty-three thousand, four hundred fifty-six".