2852498880 has 672 divisors, whose sum is σ = 12895234560. Its totient is φ = 560701440.

The previous prime is 2852498839. The next prime is 2852498881. The reversal of 2852498880 is 888942582.

It is a happy number.

2852498880 is a `hidden beast` number, since 28 + 52 + 498 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2852498881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4213102 + ... + 4213778.

Almost surely, 2^2852498880 is an apocalyptic number.

2852498880 is a gapful number since it is divisible by the number (20) 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 2852498880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6447617280).

2852498880 is an abundant number, since it is smaller than the sum of its proper divisors (10042735680).

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

2852498880 is a wasteful number, since it uses less digits than its factorization.

2852498880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The square root of 2852498880 is about 53408.7902877420. The cubic root of 2852498880 is about 1418.2141936306.

The spelling of 2852498880 in words is "two billion, eight hundred fifty-two million, four hundred ninety-eight thousand, eight hundred eighty".