202053040 has 160 divisors (see below), whose sum is σ = 564535296. Its totient is φ = 65802240.

The previous prime is 202052987. The next prime is 202053067. The reversal of 202053040 is 40350202.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1788024 + ... + 1788136.

Almost surely, 2^202053040 is an apocalyptic number.

202053040 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 202053040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282267648).

202053040 is an abundant number, since it is smaller than the sum of its proper divisors (362482256).

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

202053040 is a wasteful number, since it uses less digits than its factorization.

202053040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 202053040 is about 14214.5362217696. The cubic root of 202053040 is about 586.7977811862.

The spelling of 202053040 in words is "two hundred two million, fifty-three thousand, forty".