2532311040 has 336 divisors, whose sum is σ = 9663671808. Its totient is φ = 553648128.

The previous prime is 2532311011. The next prime is 2532311069. The reversal of 2532311040 is 401132352.

It is an interprime number because it is at equal distance from previous prime (2532311011) and next prime (2532311069).

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 2532310998 and 2532311016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110100469 + ... + 110100491.

It is an arithmetic number, because the mean of its divisors is an integer number (28760928).

Almost surely, 2^2532311040 is an apocalyptic number.

2532311040 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 2532311040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4831835904).

2532311040 is an abundant number, since it is smaller than the sum of its proper divisors (7131360768).

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

2532311040 is an frugal number, since it uses more digits than its factorization.

2532311040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 2532311040 is about 50322.0730892518. The cubic root of 2532311040 is about 1363.0308414933.

Adding to 2532311040 its reverse (401132352), we get a palindrome (2933443392).

It can be divided in two parts, 25323 and 11040, that added together give a palindrome (36363).

The spelling of 2532311040 in words is "two billion, five hundred thirty-two million, three hundred eleven thousand, forty".