2553132540 has 192 divisors, whose sum is σ = 8329466880. Its totient is φ = 572313600.

The previous prime is 2553132529. The next prime is 2553132541. The reversal of 2553132540 is 452313552.

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 = 2553132498 and 2553132507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2553132541) 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, 5896164 + ... + 5896596.

It is an arithmetic number, because the mean of its divisors is an integer number (43382640).

Almost surely, 2^2553132540 is an apocalyptic number.

2553132540 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 2553132540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4164733440).

2553132540 is an abundant number, since it is smaller than the sum of its proper divisors (5776334340).

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

2553132540 is a wasteful number, since it uses less digits than its factorization.

2553132540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The square root of 2553132540 is about 50528.5319398852. The cubic root of 2553132540 is about 1366.7564127726.

The spelling of 2553132540 in words is "two billion, five hundred fifty-three million, one hundred thirty-two thousand, five hundred forty".