2102480820 has 384 divisors, whose sum is σ = 7468070400. Its totient is φ = 486604800.

The previous prime is 2102480803. The next prime is 2102480857. The reversal of 2102480820 is 280842012.

2102480820 is a `hidden beast` number, since 2 + 102 + 480 + 82 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21675012 + ... + 21675108.

It is an arithmetic number, because the mean of its divisors is an integer number (19448100).

Almost surely, 2^2102480820 is an apocalyptic number.

2102480820 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 2102480820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3734035200).

2102480820 is an abundant number, since it is smaller than the sum of its proper divisors (5365589580).

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

2102480820 is a wasteful number, since it uses less digits than its factorization.

2102480820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 2102480820 is about 45852.8169254627. The cubic root of 2102480820 is about 1281.0832342299.

The spelling of 2102480820 in words is "two billion, one hundred two million, four hundred eighty thousand, eight hundred twenty".