2132401400 has 96 divisors (see below), whose sum is σ = 5065315680. Its totient is φ = 834624000.

The previous prime is 2132401399. The next prime is 2132401471. The reversal of 2132401400 is 41042312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3379085 + ... + 3379715.

It is an arithmetic number, because the mean of its divisors is an integer number (52763705).

Almost surely, 2^2132401400 is an apocalyptic number.

2132401400 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 2132401400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2532657840).

2132401400 is an abundant number, since it is smaller than the sum of its proper divisors (2932914280).

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

2132401400 is a wasteful number, since it uses less digits than its factorization.

2132401400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 985 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 2132401400 is about 46177.9319588914. The cubic root of 2132401400 is about 1287.1316997258.

Adding to 2132401400 its reverse (41042312), we get a palindrome (2173443712).

The spelling of 2132401400 in words is "two billion, one hundred thirty-two million, four hundred one thousand, four hundred".