2854912032 has 288 divisors, whose sum is σ = 9910293120. Its totient is φ = 761425920.

The previous prime is 2854912031. The next prime is 2854912037. The reversal of 2854912032 is 2302194582.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2854912031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2795682 + ... + 2796702.

It is an arithmetic number, because the mean of its divisors is an integer number (34410740).

Almost surely, 2^2854912032 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 2854912032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4955146560).

2854912032 is an abundant number, since it is smaller than the sum of its proper divisors (7055381088).

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

2854912032 is a wasteful number, since it uses less digits than its factorization.

2854912032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2854912032 is about 53431.3768491885. The cubic root of 2854912032 is about 1418.6140070261.

The spelling of 2854912032 in words is "two billion, eight hundred fifty-four million, nine hundred twelve thousand, thirty-two".