2662894080 has 960 divisors, whose sum is σ = 12256358400. Its totient is φ = 517570560.

The previous prime is 2662894027. The next prime is 2662894103. The reversal of 2662894080 is 804982662.

It is a tau number, because it is divible by the number of its divisors (960).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33707481 + ... + 33707559.

It is an arithmetic number, because the mean of its divisors is an integer number (12767040).

Almost surely, 2^2662894080 is an apocalyptic number.

2662894080 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 2662894080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6128179200).

2662894080 is an abundant number, since it is smaller than the sum of its proper divisors (9593464320).

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

2662894080 is a wasteful number, since it uses less digits than its factorization.

2662894080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 2662894080 is about 51603.2371077629. The cubic root of 2662894080 is about 1386.0682987027.

The spelling of 2662894080 in words is "two billion, six hundred sixty-two million, eight hundred ninety-four thousand, eighty".