2141884080 has 480 divisors, whose sum is σ = 8753011200. Its totient is φ = 481275648.

The previous prime is 2141884049. The next prime is 2141884097. The reversal of 2141884080 is 804881412.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36303091 + ... + 36303149.

It is an arithmetic number, because the mean of its divisors is an integer number (18235440).

Almost surely, 2^2141884080 is an apocalyptic number.

2141884080 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 2141884080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4376505600).

2141884080 is an abundant number, since it is smaller than the sum of its proper divisors (6611127120).

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

2141884080 is an frugal number, since it uses more digits than its factorization.

2141884080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 2141884080 is about 46280.4935150869. The cubic root of 2141884080 is about 1289.0368148138.

The spelling of 2141884080 in words is "two billion, one hundred forty-one million, eight hundred eighty-four thousand, eighty".