2532541440 has 352 divisors, whose sum is σ = 9524543616. Its totient is φ = 566231040.

The previous prime is 2532541439. The next prime is 2532541469. The reversal of 2532541440 is 441452352.

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-2 number, since 2×2532541440² = 12827532290634547200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2532541398 and 2532541407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2195904 + ... + 2197056.

Almost surely, 2^2532541440 is an apocalyptic number.

2532541440 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 2532541440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4762271808).

2532541440 is an abundant number, since it is smaller than the sum of its proper divisors (6992002176).

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

2532541440 is a wasteful number, since it uses less digits than its factorization.

2532541440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1205 (or 1187 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 2532541440 is about 50324.3622910415. The cubic root of 2532541440 is about 1363.0721782771.

Adding to 2532541440 its reverse (441452352), we get a palindrome (2973993792).

The spelling of 2532541440 in words is "two billion, five hundred thirty-two million, five hundred forty-one thousand, four hundred forty".