2663400960 has 640 divisors, whose sum is σ = 10747883520. Its totient is φ = 619315200.

The previous prime is 2663400953. The next prime is 2663400973. The reversal of 2663400960 is 690043662.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23569864 + ... + 23569976.

It is an arithmetic number, because the mean of its divisors is an integer number (16793568).

Almost surely, 2^2663400960 is an apocalyptic number.

2663400960 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 2663400960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5373941760).

2663400960 is an abundant number, since it is smaller than the sum of its proper divisors (8084482560).

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

2663400960 is a wasteful number, since it uses less digits than its factorization.

2663400960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 2663400960 is about 51608.1481938657. The cubic root of 2663400960 is about 1386.1562388291.

The spelling of 2663400960 in words is "two billion, six hundred sixty-three million, four hundred thousand, nine hundred sixty".