2609784821952 has 336 divisors, whose sum is σ = 9329645145600. Its totient is φ = 677623726080.

The previous prime is 2609784821947. The next prime is 2609784821989. The reversal of 2609784821952 is 2591284879062.

2609784821952 is a `hidden beast` number, since 2 + 6 + 0 + 97 + 8 + 482 + 19 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 2609784821952.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 147195424 + ... + 147213152.

Almost surely, 2^{2609784821952} is an apocalyptic number.

2609784821952 is a gapful number since it is divisible by the number (22) 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 2609784821952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4664822572800).

2609784821952 is an abundant number, since it is smaller than the sum of its proper divisors (6719860323648).

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

2609784821952 is a wasteful number, since it uses less digits than its factorization.

2609784821952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21084 (or 21071 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 2609784821952 in words is "two trillion, six hundred nine billion, seven hundred eighty-four million, eight hundred twenty-one thousand, nine hundred fifty-two".