2120884480 has 144 divisors (see below), whose sum is σ = 5968839744. Its totient is φ = 711843840.

The previous prime is 2120884477. The next prime is 2120884483. The reversal of 2120884480 is 844880212.

It is an interprime number because it is at equal distance from previous prime (2120884477) and next prime (2120884483).

It is not an unprimeable number, because it can be changed into a prime (2120884483) 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, 177247 + ... + 188833.

It is an arithmetic number, because the mean of its divisors is an integer number (41450276).

Almost surely, 2^2120884480 is an apocalyptic number.

2120884480 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 2120884480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2984419872).

2120884480 is an abundant number, since it is smaller than the sum of its proper divisors (3847955264).

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

2120884480 is a wasteful number, since it uses less digits than its factorization.

2120884480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11632 (or 11618 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 37.

The square root of 2120884480 is about 46053.0615703234. The cubic root of 2120884480 is about 1284.8102855475.

The spelling of 2120884480 in words is "two billion, one hundred twenty million, eight hundred eighty-four thousand, four hundred eighty".