2834561423232 has 1536 divisors, whose sum is σ = 11197567180800. Its totient is φ = 691464314880.

The previous prime is 2834561423231. The next prime is 2834561423249. The reversal of 2834561423232 is 2323241654382.

2834561423232 is a `hidden beast` number, since 2 + 8 + 3 + 4 + 5 + 614 + 2 + 3 + 23 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2834561423231) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7599360198 + ... + 7599360570.

It is an arithmetic number, because the mean of its divisors is an integer number (7290082800).

Almost surely, 2^{2834561423232} is an apocalyptic number.

2834561423232 is a gapful number since it is divisible by the number (22) 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 2834561423232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5598783590400).

2834561423232 is an abundant number, since it is smaller than the sum of its proper divisors (8363005757568).

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

2834561423232 is a wasteful number, since it uses less digits than its factorization.

2834561423232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 582 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 45.

The spelling of 2834561423232 in words is "two trillion, eight hundred thirty-four billion, five hundred sixty-one million, four hundred twenty-three thousand, two hundred thirty-two".