2109552480 has 576 divisors, whose sum is σ = 8745504768. Its totient is φ = 452874240.

The previous prime is 2109552451. The next prime is 2109552551. The reversal of 2109552480 is 842559012.

2109552480 is a `hidden beast` number, since 21 + 0 + 9 + 552 + 4 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13436562 + ... + 13436718.

It is an arithmetic number, because the mean of its divisors is an integer number (15183168).

Almost surely, 2^2109552480 is an apocalyptic number.

2109552480 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 2109552480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4372752384).

2109552480 is an abundant number, since it is smaller than the sum of its proper divisors (6635952288).

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

2109552480 is a wasteful number, since it uses less digits than its factorization.

2109552480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 2109552480 is about 45929.8647940531. The cubic root of 2109552480 is about 1282.5179277728.

The spelling of 2109552480 in words is "two billion, one hundred nine million, five hundred fifty-two thousand, four hundred eighty".