202410010000 has 225 divisors, whose sum is σ = 539975584533. Its totient is φ = 73423680000.

The previous prime is 202410009983. The next prime is 202410010003. The reversal of 202410010000 is 10014202.

The square root of 202410010000 is 449900.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 61082133904 + 141327876096 = 247148^2 + 375936^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (202410010003) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 494889796 + ... + 494890204.

Almost surely, 2^202410010000 is an apocalyptic number.

202410010000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

202410010000 is the 449900-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202410010000

202410010000 is an abundant number, since it is smaller than the sum of its proper divisors (337565574533).

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

202410010000 is an frugal number, since it uses more digits than its factorization.

202410010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Multiplying 202410010000 by its product of nonzero digits (16), we get a square (3238560160000 = 1799600²).

202410010000 divided by its product of nonzero digits (16) gives a square (12650625625 = 112475²).

Adding to 202410010000 its reverse (10014202), we get a palindrome (202420024202).

The spelling of 202410010000 in words is "two hundred two billion, four hundred ten million, ten thousand".