202152452430 has 128 divisors (see below), whose sum is σ = 503638300800. Its totient is φ = 51904512000.

The previous prime is 202152452417. The next prime is 202152452431. The reversal of 202152452430 is 34254251202.

It is a super-2 number, since 2×202152452430² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202152452431) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16443726 + ... + 16456014.

It is an arithmetic number, because the mean of its divisors is an integer number (3934674225).

Almost surely, 2^202152452430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202152452430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251819150400).

202152452430 is an abundant number, since it is smaller than the sum of its proper divisors (301485848370).

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

202152452430 is a wasteful number, since it uses less digits than its factorization.

202152452430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12550.

The product of its (nonzero) digits is 19200, while the sum is 30.

The spelling of 202152452430 in words is "two hundred two billion, one hundred fifty-two million, four hundred fifty-two thousand, four hundred thirty".