2049767616 has 224 divisors, whose sum is σ = 6144768000. Its totient is φ = 598671360.

The previous prime is 2049767597. The next prime is 2049767651. The reversal of 2049767616 is 6167679402.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4564960 + ... + 4565408.

It is an arithmetic number, because the mean of its divisors is an integer number (27432000).

Almost surely, 2^2049767616 is an apocalyptic number.

2049767616 is a gapful number since it is divisible by the number (26) 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 2049767616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3072384000).

2049767616 is an abundant number, since it is smaller than the sum of its proper divisors (4095000384).

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

2049767616 is a wasteful number, since it uses less digits than its factorization.

2049767616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 48.

The square root of 2049767616 is about 45274.3593659811. The cubic root of 2049767616 is about 1270.2860900939.

The spelling of 2049767616 in words is "two billion, forty-nine million, seven hundred sixty-seven thousand, six hundred sixteen".