2132487504 has 240 divisors, whose sum is σ = 7242393600. Its totient is φ = 572546304.

The previous prime is 2132487451. The next prime is 2132487509. The reversal of 2132487504 is 4057842312.

It is a happy number.

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 (2132487509) 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 47 ways as a sum of consecutive naturals, for example, 1367077 + ... + 1368635.

It is an arithmetic number, because the mean of its divisors is an integer number (30176640).

Almost surely, 2^2132487504 is an apocalyptic number.

2132487504 is a gapful number since it is divisible by the number (24) 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 2132487504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3621196800).

2132487504 is an abundant number, since it is smaller than the sum of its proper divisors (5109906096).

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

2132487504 is a wasteful number, since it uses less digits than its factorization.

2132487504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1662 (or 1653 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 2132487504 is about 46178.8642562807. The cubic root of 2132487504 is about 1287.1490238088.

The spelling of 2132487504 in words is "two billion, one hundred thirty-two million, four hundred eighty-seven thousand, five hundred four".