202982040 has 144 divisors (see below), whose sum is σ = 701138880. Its totient is φ = 50918400.

The previous prime is 202982027. The next prime is 202982041. The reversal of 202982040 is 40289202.

It is a junction number, because it is equal to n+sod(n) for n = 202981995 and 202982013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202982041) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 103065 + ... + 105015.

It is an arithmetic number, because the mean of its divisors is an integer number (4869020).

Almost surely, 2^202982040 is an apocalyptic number.

202982040 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 202982040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350569440).

202982040 is an abundant number, since it is smaller than the sum of its proper divisors (498156840).

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

202982040 is a wasteful number, since it uses less digits than its factorization.

202982040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2002 (or 1978 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 202982040 is about 14247.1765623930. The cubic root of 202982040 is about 587.6957331822.

The spelling of 202982040 in words is "two hundred two million, nine hundred eighty-two thousand, forty".