2661997824 has 72 divisors (see below), whose sum is σ = 7872016320. Its totient is φ = 887330304.

The previous prime is 2661997823. The next prime is 2661997843. The reversal of 2661997824 is 4287991662.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2661997823) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 185652 + ... + 199475.

It is an arithmetic number, because the mean of its divisors is an integer number (109333560).

Almost surely, 2^2661997824 is an apocalyptic number.

2661997824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2661997824 is an abundant number, since it is smaller than the sum of its proper divisors (5210018496).

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

2661997824 is an equidigital number, since it uses as much as digits as its factorization.

2661997824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385152 (or 385132 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 2661997824 is about 51594.5522705644. The cubic root of 2661997824 is about 1385.9127772550.

The spelling of 2661997824 in words is "two billion, six hundred sixty-one million, nine hundred ninety-seven thousand, eight hundred twenty-four".