2661751040 has 144 divisors (see below), whose sum is σ = 7228401600. Its totient is φ = 930963456.

The previous prime is 2661751033. The next prime is 2661751063. The reversal of 2661751040 is 401571662.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 2661750988 and 2661751006.

It is an unprimeable number.

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, 311951 + ... + 320369.

Almost surely, 2^2661751040 is an apocalyptic number.

2661751040 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 2661751040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3614200800).

2661751040 is an abundant number, since it is smaller than the sum of its proper divisors (4566650560).

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

2661751040 is a wasteful number, since it uses less digits than its factorization.

2661751040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8472 (or 8458 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 2661751040 is about 51592.1606448111. The cubic root of 2661751040 is about 1385.8699483109.

The spelling of 2661751040 in words is "two billion, six hundred sixty-one million, seven hundred fifty-one thousand, forty".