2661634240 has 112 divisors (see below), whose sum is σ = 6730057152. Its totient is φ = 999161856.

The previous prime is 2661634229. The next prime is 2661634249. The reversal of 2661634240 is 424361662.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 2661634196 and 2661634205.

It is not an unprimeable number, because it can be changed into a prime (2661634249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3660757 + ... + 3661483.

It is an arithmetic number, because the mean of its divisors is an integer number (60089796).

Almost surely, 2^2661634240 is an apocalyptic number.

2661634240 is a gapful number since it is divisible by the number (20) 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 2661634240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3365028576).

2661634240 is an abundant number, since it is smaller than the sum of its proper divisors (4068422912).

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

2661634240 is a wasteful number, since it uses less digits than its factorization.

2661634240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1434 (or 1424 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

The square root of 2661634240 is about 51591.0286774745. The cubic root of 2661634240 is about 1385.8496769462.

The spelling of 2661634240 in words is "two billion, six hundred sixty-one million, six hundred thirty-four thousand, two hundred forty".