2162400000 has 432 divisors, whose sum is σ = 7760315808. Its totient is φ = 532480000.

The previous prime is 2162399989. The next prime is 2162400007. The reversal of 2162400000 is 42612.

It is a super-3 number, since 3×2162400000³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2162400007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40799974 + ... + 40800026.

It is an arithmetic number, because the mean of its divisors is an integer number (17963694).

Almost surely, 2^2162400000 is an apocalyptic number.

2162400000 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 2162400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3880157904).

2162400000 is an abundant number, since it is smaller than the sum of its proper divisors (5597915808).

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

2162400000 is an frugal number, since it uses more digits than its factorization.

2162400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2162400000 is about 46501.6128752541. The cubic root of 2162400000 is about 1293.1394000732.

Adding to 2162400000 its reverse (42612), we get a palindrome (2162442612).

The spelling of 2162400000 in words is "two billion, one hundred sixty-two million, four hundred thousand".