2800741659072 has 224 divisors, whose sum is σ = 8523723124224. Its totient is φ = 795045888000.

The previous prime is 2800741659059. The next prime is 2800741659077. The reversal of 2800741659072 is 2709561470082.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×2800741659072² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2800741659077) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 170425768 + ... + 170442200.

It is an arithmetic number, because the mean of its divisors is an integer number (38052335376).

Almost surely, 2^{2800741659072} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2800741659072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4261861562112).

2800741659072 is an abundant number, since it is smaller than the sum of its proper divisors (5722981465152).

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

2800741659072 is a wasteful number, since it uses less digits than its factorization.

2800741659072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17267 (or 17257 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 51.

The spelling of 2800741659072 in words is "two trillion, eight hundred billion, seven hundred forty-one million, six hundred fifty-nine thousand, seventy-two".