2532007296 has 512 divisors, whose sum is σ = 9404236800. Its totient is φ = 652935168.

The previous prime is 2532007277. The next prime is 2532007321. The reversal of 2532007296 is 6927002352.

2532007296 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 2×2532007296² = 12822121893994463232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2532007296.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26103120 + ... + 26103216.

It is an arithmetic number, because the mean of its divisors is an integer number (18367650).

Almost surely, 2^2532007296 is an apocalyptic number.

2532007296 is a gapful number since it is divisible by the number (26) 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 2532007296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4702118400).

2532007296 is an abundant number, since it is smaller than the sum of its proper divisors (6872229504).

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

2532007296 is a wasteful number, since it uses less digits than its factorization.

2532007296 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 45360, while the sum is 36.

The square root of 2532007296 is about 50319.0549990756. The cubic root of 2532007296 is about 1362.9763420015.

The spelling of 2532007296 in words is "two billion, five hundred thirty-two million, seven thousand, two hundred ninety-six".