2662909920 has 864 divisors, whose sum is σ = 11293551360. Its totient is φ = 567705600.

The previous prime is 2662909877. The next prime is 2662909927. The reversal of 2662909920 is 299092662.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2662909927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 85900305 + ... + 85900335.

It is an arithmetic number, because the mean of its divisors is an integer number (13071240).

Almost surely, 2^2662909920 is an apocalyptic number.

2662909920 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 2662909920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5646775680).

2662909920 is an abundant number, since it is smaller than the sum of its proper divisors (8630641440).

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

2662909920 is a wasteful number, since it uses less digits than its factorization.

2662909920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 2662909920 is about 51603.3905862783. The cubic root of 2662909920 is about 1386.0710470005.

The spelling of 2662909920 in words is "two billion, six hundred sixty-two million, nine hundred nine thousand, nine hundred twenty".