2661473920 has 128 divisors (see below), whose sum is σ = 7391491200. Its totient is φ = 897454080.

The previous prime is 2661473861. The next prime is 2661473921. The reversal of 2661473920 is 293741662.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (2661473921) 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, 268411 + ... + 278149.

It is an arithmetic number, because the mean of its divisors is an integer number (57746025).

Almost surely, 2^2661473920 is an apocalyptic number.

2661473920 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 2661473920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3695745600).

2661473920 is an abundant number, since it is smaller than the sum of its proper divisors (4730017280).

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

2661473920 is an equidigital number, since it uses as much as digits as its factorization.

2661473920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9826 (or 9814 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

The square root of 2661473920 is about 51589.4748955637. The cubic root of 2661473920 is about 1385.8218514499.

The spelling of 2661473920 in words is "two billion, six hundred sixty-one million, four hundred seventy-three thousand, nine hundred twenty".