2942813226528 has 1344 divisors, whose sum is σ = 10915991412480. Its totient is φ = 761497583616.

The previous prime is 2942813226487. The next prime is 2942813226539. The reversal of 2942813226528 is 8256223182492.

2942813226528 is a `hidden beast` number, since 2 + 9 + 4 + 2 + 81 + 32 + 2 + 6 + 528 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 10623874326 + ... + 10623874602.

It is an arithmetic number, because the mean of its divisors is an integer number (8122017420).

Almost surely, 2^{2942813226528} is an apocalyptic number.

2942813226528 is a gapful number since it is divisible by the number (28) 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 2942813226528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5457995706240).

2942813226528 is an abundant number, since it is smaller than the sum of its proper divisors (7973178185952).

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

2942813226528 is a wasteful number, since it uses less digits than its factorization.

2942813226528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 438 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The spelling of 2942813226528 in words is "two trillion, nine hundred forty-two billion, eight hundred thirteen million, two hundred twenty-six thousand, five hundred twenty-eight".