2663004804096 has 352 divisors, whose sum is σ = 9195650652160. Its totient is φ = 665364824064.

The previous prime is 2663004804079. The next prime is 2663004804113. The reversal of 2663004804096 is 6904084003662.

It is an interprime number because it is at equal distance from previous prime (2663004804079) and next prime (2663004804113).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5060805 + ... + 5562171.

Almost surely, 2^{2663004804096} is an apocalyptic number.

2663004804096 is a gapful number since it is divisible by the number (26) 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 2663004804096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4597825326080).

2663004804096 is an abundant number, since it is smaller than the sum of its proper divisors (6532645848064).

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

2663004804096 is a wasteful number, since it uses less digits than its factorization.

2663004804096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501429 (or 501411 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 48.

The spelling of 2663004804096 in words is "two trillion, six hundred sixty-three billion, four million, eight hundred four thousand, ninety-six".