202025024640 has 512 divisors, whose sum is σ = 752833440000. Its totient is φ = 51126534144.

The previous prime is 202025024639. The next prime is 202025024687. The reversal of 202025024640 is 46420520202.

It is a happy number.

It is a super-2 number, since 2×202025024640² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29562664 + ... + 29569496.

Almost surely, 2^202025024640 is an apocalyptic number.

202025024640 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 202025024640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376416720000).

202025024640 is an abundant number, since it is smaller than the sum of its proper divisors (550808415360).

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

202025024640 is a wasteful number, since it uses less digits than its factorization.

202025024640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6949 (or 6931 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 202025024640 its reverse (46420520202), we get a palindrome (248445544842).

The spelling of 202025024640 in words is "two hundred two billion, twenty-five million, twenty-four thousand, six hundred forty".