2864096820 has 480 divisors, whose sum is σ = 10327274496. Its totient is φ = 659404800.

The previous prime is 2864096791. The next prime is 2864096831. The reversal of 2864096820 is 286904682.

2864096820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2864096820² = 16406101188668224800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 26767207 + ... + 26767313.

Almost surely, 2^2864096820 is an apocalyptic number.

2864096820 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 2864096820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5163637248).

2864096820 is an abundant number, since it is smaller than the sum of its proper divisors (7463177676).

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

2864096820 is a wasteful number, since it uses less digits than its factorization.

2864096820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 2864096820 is about 53517.2572167147. The cubic root of 2864096820 is about 1420.1336943486.

The spelling of 2864096820 in words is "two billion, eight hundred sixty-four million, ninety-six thousand, eight hundred twenty".