2663145540 has 480 divisors, whose sum is σ = 9879408000. Its totient is φ = 593326080.

The previous prime is 2663145539. The next prime is 2663145571. The reversal of 2663145540 is 455413662.

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

It is a junction number, because it is equal to n+sod(n) for n = 2663145495 and 2663145504.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 17873386 + ... + 17873534.

It is an arithmetic number, because the mean of its divisors is an integer number (20582100).

Almost surely, 2^2663145540 is an apocalyptic number.

2663145540 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 2663145540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4939704000).

2663145540 is an abundant number, since it is smaller than the sum of its proper divisors (7216262460).

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

2663145540 is a wasteful number, since it uses less digits than its factorization.

2663145540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 2663145540 is about 51605.6735253015. The cubic root of 2663145540 is about 1386.1119266445. Note that the first 3 decimals are identical.

The spelling of 2663145540 in words is "two billion, six hundred sixty-three million, one hundred forty-five thousand, five hundred forty".