202042874880 has 2464 divisors, whose sum is σ = 979431528960. Its totient is φ = 38698352640.

The previous prime is 202042874879. The next prime is 202042874921. The reversal of 202042874880 is 88478240202.

It is a tau number, because it is divible by the number of its divisors (2464).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 5460618222 + ... + 5460618258.

Almost surely, 2^202042874880 is an apocalyptic number.

202042874880 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 202042874880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489715764480).

202042874880 is an abundant number, since it is smaller than the sum of its proper divisors (777388654080).

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

202042874880 is a wasteful number, since it uses less digits than its factorization.

202042874880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 45.

The spelling of 202042874880 in words is "two hundred two billion, forty-two million, eight hundred seventy-four thousand, eight hundred eighty".