2141502816 has 96 divisors (see below), whose sum is σ = 5944651776. Its totient is φ = 673920000.

The previous prime is 2141502809. The next prime is 2141502821. The reversal of 2141502816 is 6182051412.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113241 + ... + 130791.

It is an arithmetic number, because the mean of its divisors is an integer number (61923456).

Almost surely, 2^2141502816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2141502816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2972325888).

2141502816 is an abundant number, since it is smaller than the sum of its proper divisors (3803148960).

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

2141502816 is a wasteful number, since it uses less digits than its factorization.

2141502816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17636 (or 17628 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 2141502816 is about 46276.3742745691. The cubic root of 2141502816 is about 1288.9603256922.

The spelling of 2141502816 in words is "two billion, one hundred forty-one million, five hundred two thousand, eight hundred sixteen".