2661789952 has 144 divisors (see below), whose sum is σ = 5860556800. Its totient is φ = 1201858560.

The previous prime is 2661789883. The next prime is 2661789959. The reversal of 2661789952 is 2599871662.

It is a junction number, because it is equal to n+sod(n) for n = 2661789893 and 2661789902.

It is not an unprimeable number, because it can be changed into a prime (2661789959) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19149499 + ... + 19149637.

Almost surely, 2^2661789952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2661789952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2930278400).

2661789952 is an abundant number, since it is smaller than the sum of its proper divisors (3198766848).

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

2661789952 is a wasteful number, since it uses less digits than its factorization.

2661789952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 318 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 55.

The square root of 2661789952 is about 51592.5377549893. The cubic root of 2661789952 is about 1385.8767015982.

The spelling of 2661789952 in words is "two billion, six hundred sixty-one million, seven hundred eighty-nine thousand, nine hundred fifty-two".