2132345040 has 80 divisors (see below), whose sum is σ = 7554599808. Its totient is φ = 487392768.

The previous prime is 2132345023. The next prime is 2132345041. The reversal of 2132345040 is 405432312.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2132345040² = 9093790739225203200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2132345040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2132345041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 632947 + ... + 636306.

Almost surely, 2^2132345040 is an apocalyptic number.

2132345040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2132345040 is an abundant number, since it is smaller than the sum of its proper divisors (5422254768).

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

2132345040 is a wasteful number, since it uses less digits than its factorization.

2132345040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1269276 (or 1269270 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 2132345040 is about 46177.3217066560. The cubic root of 2132345040 is about 1287.1203598687.

Adding to 2132345040 its reverse (405432312), we get a palindrome (2537777352).

The spelling of 2132345040 in words is "two billion, one hundred thirty-two million, three hundred forty-five thousand, forty".