2049635016 has 384 divisors, whose sum is σ = 6923629440. Its totient is φ = 559872000.

The previous prime is 2049634997. The next prime is 2049635053. The reversal of 2049635016 is 6105369402.

It is a happy number.

2049635016 is a `hidden beast` number, since 2 + 0 + 4 + 9 + 635 + 0 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20293366 + ... + 20293466.

It is an arithmetic number, because the mean of its divisors is an integer number (18030285).

Almost surely, 2^2049635016 is an apocalyptic number.

2049635016 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 2049635016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3461814720).

2049635016 is an abundant number, since it is smaller than the sum of its proper divisors (4873994424).

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

2049635016 is a wasteful number, since it uses less digits than its factorization.

2049635016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 2049635016 is about 45272.8949372580. The cubic root of 2049635016 is about 1270.2586977908.

The spelling of 2049635016 in words is "two billion, forty-nine million, six hundred thirty-five thousand, sixteen".