2101620400 has 240 divisors, whose sum is σ = 6055683840. Its totient is φ = 691891200.

The previous prime is 2101620397. The next prime is 2101620467. The reversal of 2101620400 is 40261012.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1922254 + ... + 1923346.

It is an arithmetic number, because the mean of its divisors is an integer number (25232016).

Almost surely, 2^2101620400 is an apocalyptic number.

2101620400 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 2101620400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3027841920).

2101620400 is an abundant number, since it is smaller than the sum of its proper divisors (3954063440).

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

2101620400 is a wasteful number, since it uses less digits than its factorization.

2101620400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1164 (or 1153 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2101620400 is about 45843.4335537817. The cubic root of 2101620400 is about 1280.9084533988.

Adding to 2101620400 its reverse (40261012), we get a palindrome (2141881412).

The spelling of 2101620400 in words is "two billion, one hundred one million, six hundred twenty thousand, four hundred".