202742697024 has 336 divisors, whose sum is σ = 691736138496. Its totient is φ = 55564185600.

The previous prime is 202742697023. The next prime is 202742697083. The reversal of 202742697024 is 420796247202.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×202742697024² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (202742697023) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10582494 + ... + 10601634.

Almost surely, 2^202742697024 is an apocalyptic number.

202742697024 is a gapful number since it is divisible by the number (24) 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 202742697024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345868069248).

202742697024 is an abundant number, since it is smaller than the sum of its proper divisors (488993441472).

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

202742697024 is a wasteful number, since it uses less digits than its factorization.

202742697024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19274 (or 19261 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 202742697024 in words is "two hundred two billion, seven hundred forty-two million, six hundred ninety-seven thousand, twenty-four".