2662007040 has 432 divisors, whose sum is σ = 11486756736. Its totient is φ = 552960000.

The previous prime is 2662007039. The next prime is 2662007081. The reversal of 2662007040 is 407002662.

It is a junction number, because it is equal to n+sod(n) for n = 2662006995 and 2662007013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 885540 + ... + 888540.

Almost surely, 2^2662007040 is an apocalyptic number.

2662007040 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 2662007040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5743378368).

2662007040 is an abundant number, since it is smaller than the sum of its proper divisors (8824749696).

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

2662007040 is a wasteful number, since it uses less digits than its factorization.

2662007040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3046 (or 3029 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 2662007040 is about 51594.6415822419. The cubic root of 2662007040 is about 1385.9143766249.

The spelling of 2662007040 in words is "two billion, six hundred sixty-two million, seven thousand, forty".