2649781350 has 108 divisors (see below), whose sum is σ = 7398591564. Its totient is φ = 705095280.

The previous prime is 2649781349. The next prime is 2649781367. The reversal of 2649781350 is 531879462.

2649781350 is a `hidden beast` number, since 26 + 497 + 8 + 135 + 0 = 666.

2649781350 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

2649781350 is strictly pandigital in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 2649781296 and 2649781305.

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 53 ways as a sum of consecutive naturals, for example, 5673817 + ... + 5674283.

It is a 1-persistent number, because it is pandigital, but 2⋅2649781350 = 5299562700 is not.

Almost surely, 2^2649781350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2649781350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3699295782).

2649781350 is an abundant number, since it is smaller than the sum of its proper divisors (4748810214).

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

2649781350 is an frugal number, since it uses more digits than its factorization.

2649781350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 2649781350 is about 51476.0269445885. The cubic root of 2649781350 is about 1383.7894429896.

The spelling of 2649781350 in words is "two billion, six hundred forty-nine million, seven hundred eighty-one thousand, three hundred fifty".