2532993012 has 192 divisors, whose sum is σ = 7474790400. Its totient is φ = 734832000.

The previous prime is 2532993007. The next prime is 2532993017. The reversal of 2532993012 is 2103992352.

2532993012 is a `hidden beast` number, since 2 + 532 + 99 + 30 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2532993007) and next prime (2532993017).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2532993017) 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, 4013937 + ... + 4014567.

It is an arithmetic number, because the mean of its divisors is an integer number (38931200).

Almost surely, 2^2532993012 is an apocalyptic number.

2532993012 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 2532993012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3737395200).

2532993012 is an abundant number, since it is smaller than the sum of its proper divisors (4941797388).

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

2532993012 is a wasteful number, since it uses less digits than its factorization.

2532993012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 2532993012 is about 50328.8487052903. The cubic root of 2532993012 is about 1363.1531889488.

It can be divided in two parts, 25329 and 93012, that added together give a triangular number (118341 = T₄₈₆).

The spelling of 2532993012 in words is "two billion, five hundred thirty-two million, nine hundred ninety-three thousand, twelve".