2102074800 has 240 divisors, whose sum is σ = 7734004992. Its totient is φ = 478080000.

The previous prime is 2102074783. The next prime is 2102074829. The reversal of 2102074800 is 84702012.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2107902 + ... + 2108898.

Almost surely, 2^2102074800 is an apocalyptic number.

2102074800 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 2102074800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3867002496).

2102074800 is an abundant number, since it is smaller than the sum of its proper divisors (5631930192).

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

2102074800 is a wasteful number, since it uses less digits than its factorization.

2102074800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1276 (or 1265 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 2102074800 is about 45848.3892846848. The cubic root of 2102074800 is about 1281.0007635765. Note that the first 3 decimals are identical.

Adding to 2102074800 its reverse (84702012), we get a palindrome (2186776812).

The spelling of 2102074800 in words is "two billion, one hundred two million, seventy-four thousand, eight hundred".