2102162400 has 432 divisors, whose sum is σ = 8212224384. Its totient is φ = 502640640.

The previous prime is 2102162383. The next prime is 2102162407. The reversal of 2102162400 is 42612012.

2102162400 is a `hidden beast` number, since 2 + 102 + 162 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102162407) 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 71 ways as a sum of consecutive naturals, for example, 3462897 + ... + 3463503.

Almost surely, 2^2102162400 is an apocalyptic number.

2102162400 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 2102162400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4106112192).

2102162400 is an abundant number, since it is smaller than the sum of its proper divisors (6110061984).

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

2102162400 is a wasteful number, since it uses less digits than its factorization.

2102162400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2102162400 is about 45849.3445972786. The cubic root of 2102162400 is about 1281.0185577590.

Adding to 2102162400 its reverse (42612012), we get a palindrome (2144774412).

The spelling of 2102162400 in words is "two billion, one hundred two million, one hundred sixty-two thousand, four hundred".