2045719016 has 64 divisors (see below), whose sum is σ = 4401216000. Its totient is φ = 882835200.

The previous prime is 2045719009. The next prime is 2045719031. The reversal of 2045719016 is 6109175402.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

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 15 ways as a sum of consecutive naturals, for example, 137510 + ... + 151658.

It is an arithmetic number, because the mean of its divisors is an integer number (68769000).

Almost surely, 2^2045719016 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 2045719016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2200608000).

2045719016 is an abundant number, since it is smaller than the sum of its proper divisors (2355496984).

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

2045719016 is a wasteful number, since it uses less digits than its factorization.

2045719016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14250 (or 14246 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 35.

The square root of 2045719016 is about 45229.6254240514. The cubic root of 2045719016 is about 1269.4492033606.

The spelling of 2045719016 in words is "two billion, forty-five million, seven hundred nineteen thousand, sixteen".