2141718880 has 96 divisors (see below), whose sum is σ = 5880833280. Its totient is φ = 721835520.

The previous prime is 2141718857. The next prime is 2141718883. The reversal of 2141718880 is 888171412.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2141718883) 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, 49875 + ... + 82285.

It is an arithmetic number, because the mean of its divisors is an integer number (61258680).

Almost surely, 2^2141718880 is an apocalyptic number.

2141718880 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 2141718880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2940416640).

2141718880 is an abundant number, since it is smaller than the sum of its proper divisors (3739114400).

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

2141718880 is a wasteful number, since it uses less digits than its factorization.

2141718880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32492 (or 32484 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 40.

The square root of 2141718880 is about 46278.7087114582. The cubic root of 2141718880 is about 1289.0036735312.

The spelling of 2141718880 in words is "two billion, one hundred forty-one million, seven hundred eighteen thousand, eight hundred eighty".