2002775040 has 396 divisors, whose sum is σ = 8081654256. Its totient is φ = 457261056.

The previous prime is 2002775039. The next prime is 2002775051. The reversal of 2002775040 is 405772002.

It is a super-2 number, since 2×2002775040² = 8022215721694003200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2002774995 and 2002775013.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 2257477 + ... + 2258363.

Almost surely, 2^2002775040 is an apocalyptic number.

2002775040 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 2002775040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4040827128).

2002775040 is an abundant number, since it is smaller than the sum of its proper divisors (6078879216).

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

2002775040 is a wasteful number, since it uses less digits than its factorization.

2002775040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 2002775040 is about 44752.3746855963. The cubic root of 2002775040 is about 1260.5035024747.

The spelling of 2002775040 in words is "two billion, two million, seven hundred seventy-five thousand, forty".