2049974784 has 640 divisors, whose sum is σ = 7672008960. Its totient is φ = 530841600.

The previous prime is 2049974777. The next prime is 2049974791. The reversal of 2049974784 is 4874799402.

It is a happy number.

2049974784 is a `hidden beast` number, since 2 + 0 + 499 + 74 + 7 + 84 = 666.

It is an interprime number because it is at equal distance from previous prime (2049974777) and next prime (2049974791).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 2049974784.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33606114 + ... + 33606174.

It is an arithmetic number, because the mean of its divisors is an integer number (11987514).

Almost surely, 2^2049974784 is an apocalyptic number.

2049974784 is a gapful number since it is divisible by the number (24) 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 2049974784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3836004480).

2049974784 is an abundant number, since it is smaller than the sum of its proper divisors (5622034176).

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

2049974784 is a wasteful number, since it uses less digits than its factorization.

2049974784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The square root of 2049974784 is about 45276.6472256946. The cubic root of 2049974784 is about 1270.3288841748.

The spelling of 2049974784 in words is "two billion, forty-nine million, nine hundred seventy-four thousand, seven hundred eighty-four".