2141764416 has 420 divisors, whose sum is σ = 7342229664. Its totient is φ = 612057600.

The previous prime is 2141764409. The next prime is 2141764451. The reversal of 2141764416 is 6144671412.

It is a happy number.

2141764416 is a `hidden beast` number, since 2 + 1 + 4 + 1 + 7 + 644 + 1 + 6 = 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 (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 30165661 + ... + 30165731.

Almost surely, 2^2141764416 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 2141764416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3671114832).

2141764416 is an abundant number, since it is smaller than the sum of its proper divisors (5200465248).

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

2141764416 is a wasteful number, since it uses less digits than its factorization.

2141764416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 110 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 2141764416 is about 46279.2006845408. The cubic root of 2141764416 is about 1289.0128088191.

The spelling of 2141764416 in words is "two billion, one hundred forty-one million, seven hundred sixty-four thousand, four hundred sixteen".