2801696352 has 192 divisors, whose sum is σ = 9181154304. Its totient is φ = 728340480.

The previous prime is 2801696341. The next prime is 2801696363. The reversal of 2801696352 is 2536961082.

It is an interprime number because it is at equal distance from previous prime (2801696341) and next prime (2801696363).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 617998 + ... + 622514.

It is an arithmetic number, because the mean of its divisors is an integer number (47818512).

Almost surely, 2^2801696352 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 2801696352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4590577152).

2801696352 is an abundant number, since it is smaller than the sum of its proper divisors (6379457952).

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

2801696352 is a wasteful number, since it uses less digits than its factorization.

2801696352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4621 (or 4613 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 2801696352 is about 52931.0528140146. The cubic root of 2801696352 is about 1409.7443246487.

It can be divided in two parts, 2801 and 696352, that added together give a triangular number (699153 = T₁₁₈₂).

The spelling of 2801696352 in words is "two billion, eight hundred one million, six hundred ninety-six thousand, three hundred fifty-two".