2820711120 has 80 divisors (see below), whose sum is σ = 9204440640. Its totient is φ = 712599552.

The previous prime is 2820711107. The next prime is 2820711121. The reversal of 2820711120 is 211170282.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2820711120² = 15912822444983308800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2820711121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 304729 + ... + 313848.

It is an arithmetic number, because the mean of its divisors is an integer number (115055508).

Almost surely, 2^2820711120 is an apocalyptic number.

2820711120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2820711120 is an abundant number, since it is smaller than the sum of its proper divisors (6383729520).

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

2820711120 is a wasteful number, since it uses less digits than its factorization.

2820711120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618612 (or 618606 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 24.

The square root of 2820711120 is about 53110.3673495110. The cubic root of 2820711120 is about 1412.9263903947.

The spelling of 2820711120 in words is "two billion, eight hundred twenty million, seven hundred eleven thousand, one hundred twenty".