2662400000 has 204 divisors, whose sum is σ = 7167486564. Its totient is φ = 983040000.

The previous prime is 2662399991. The next prime is 2662400017. The reversal of 2662400000 is 42662.

It can be written as a sum of positive squares in 6 ways, for example, as 2517630976 + 144769024 = 50176^2 + 12032^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 204799994 + ... + 204800006.

Almost surely, 2^2662400000 is an apocalyptic number.

2662400000 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 2662400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3583743282).

2662400000 is an abundant number, since it is smaller than the sum of its proper divisors (4505086564).

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

2662400000 is an frugal number, since it uses more digits than its factorization.

2662400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 2662400000 is about 51598.4495891107. The cubic root of 2662400000 is about 1385.9825685454.

Adding to 2662400000 its reverse (42662), we get a palindrome (2662442662).

The spelling of 2662400000 in words is "two billion, six hundred sixty-two million, four hundred thousand".