2663781120 has 1296 divisors, whose sum is σ = 13016273760. Its totient is φ = 510935040.

The previous prime is 2663781103. The next prime is 2663781137. The reversal of 2663781120 is 211873662.

2663781120 is a `hidden beast` number, since 2 + 6 + 637 + 8 + 1 + 12 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2663781103) and next prime (2663781137).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 204906234 + ... + 204906246.

Almost surely, 2^2663781120 is an apocalyptic number.

2663781120 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 2663781120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6508136880).

2663781120 is an abundant number, since it is smaller than the sum of its proper divisors (10352492640).

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

2663781120 is a wasteful number, since it uses less digits than its factorization.

2663781120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2663781120 is about 51611.8312017700. The cubic root of 2663781120 is about 1386.2221866021. Note that the first 3 decimals are identical.

The spelling of 2663781120 in words is "two billion, six hundred sixty-three million, seven hundred eighty-one thousand, one hundred twenty".