2162472400 has 180 divisors, whose sum is σ = 5841188640. Its totient is φ = 762969600.

The previous prime is 2162472353. The next prime is 2162472407. The reversal of 2162472400 is 42742612.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2162472407) 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 35 ways as a sum of consecutive naturals, for example, 6023421 + ... + 6023779.

It is an arithmetic number, because the mean of its divisors is an integer number (32451048).

Almost surely, 2^2162472400 is an apocalyptic number.

2162472400 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 2162472400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2920594320).

2162472400 is an abundant number, since it is smaller than the sum of its proper divisors (3678716240).

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

2162472400 is a wasteful number, since it uses less digits than its factorization.

2162472400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 2162472400 is about 46502.3913363603. The cubic root of 2162472400 is about 1293.1538319156.

The spelling of 2162472400 in words is "two billion, one hundred sixty-two million, four hundred seventy-two thousand, four hundred".