2801641632 has 48 divisors (see below), whose sum is σ = 7371403200. Its totient is φ = 931709952.

The previous prime is 2801641621. The next prime is 2801641691. The reversal of 2801641632 is 2361461082.

2801641632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 2801641593 and 2801641602.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7869 + ... + 75267.

It is an arithmetic number, because the mean of its divisors is an integer number (153570900).

Almost surely, 2^2801641632 is an apocalyptic number.

It is an amenable number.

2801641632 is an abundant number, since it is smaller than the sum of its proper divisors (4569761568).

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

2801641632 is a wasteful number, since it uses less digits than its factorization.

2801641632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67845 (or 67837 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 2801641632 is about 52930.5359126469. The cubic root of 2801641632 is about 1409.7351466720.

The spelling of 2801641632 in words is "two billion, eight hundred one million, six hundred forty-one thousand, six hundred thirty-two".