2532970440 has 960 divisors, whose sum is σ = 11679655680. Its totient is φ = 479001600.

The previous prime is 2532970439. The next prime is 2532970441. The reversal of 2532970440 is 440792352.

It is an interprime number because it is at equal distance from previous prime (2532970439) and next prime (2532970441).

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

It is a junction number, because it is equal to n+sod(n) for n = 2532970395 and 2532970404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2532970441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 35675605 + ... + 35675675.

It is an arithmetic number, because the mean of its divisors is an integer number (12166308).

Almost surely, 2^2532970440 is an apocalyptic number.

2532970440 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 2532970440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5839827840).

2532970440 is an abundant number, since it is smaller than the sum of its proper divisors (9146685240).

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

2532970440 is a wasteful number, since it uses less digits than its factorization.

2532970440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 2532970440 is about 50328.6244596452. The cubic root of 2532970440 is about 1363.1491398278.

The spelling of 2532970440 in words is "two billion, five hundred thirty-two million, nine hundred seventy thousand, four hundred forty".