2263278304098 has 1024 divisors, whose sum is σ = 6746996736000. Its totient is φ = 554550416640.

The previous prime is 2263278304097. The next prime is 2263278304129. The reversal of 2263278304098 is 8904038723622.

2263278304098 is a `hidden beast` number, since 2 + 2 + 6 + 327 + 8 + 304 + 0 + 9 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2263278304097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 37102922988 + ... + 37102923048.

It is an arithmetic number, because the mean of its divisors is an integer number (6588864000).

Almost surely, 2^{2263278304098} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2263278304098, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3373498368000).

2263278304098 is an abundant number, since it is smaller than the sum of its proper divisors (4483718431902).

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

2263278304098 is a wasteful number, since it uses less digits than its factorization.

2263278304098 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 2263278304098 in words is "two trillion, two hundred sixty-three billion, two hundred seventy-eight million, three hundred four thousand, ninety-eight".