2662145808 has 80 divisors (see below), whose sum is σ = 7890506880. Its totient is φ = 757628928.

The previous prime is 2662145807. The next prime is 2662145813. The reversal of 2662145808 is 8085412662.

2662145808 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 2662145808.

It is not an unprimeable number, because it can be changed into a prime (2662145807) 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, 70938 + ... + 101766.

It is an arithmetic number, because the mean of its divisors is an integer number (98631336).

Almost surely, 2^2662145808 is an apocalyptic number.

2662145808 is a gapful number since it is divisible by the number (28) 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 2662145808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3945253440).

2662145808 is an abundant number, since it is smaller than the sum of its proper divisors (5228361072).

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

2662145808 is a wasteful number, since it uses less digits than its factorization.

2662145808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31104 (or 31098 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 2662145808 is about 51595.9863555296. The cubic root of 2662145808 is about 1385.9384583574.

The spelling of 2662145808 in words is "two billion, six hundred sixty-two million, one hundred forty-five thousand, eight hundred eight".