2275984998144 has 432 divisors, whose sum is σ = 7995035228544. Its totient is φ = 636636672000.

The previous prime is 2275984998127. The next prime is 2275984998163. The reversal of 2275984998144 is 4418994895722.

2275984998144 is a `hidden beast` number, since 2 + 2 + 7 + 5 + 98 + 499 + 8 + 1 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8767819 + ... + 9023669.

It is an arithmetic number, because the mean of its divisors is an integer number (18507025992).

Almost surely, 2^{2275984998144} is an apocalyptic number.

2275984998144 is a gapful number since it is divisible by the number (24) 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 2275984998144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3997517614272).

2275984998144 is an abundant number, since it is smaller than the sum of its proper divisors (5719050230400).

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

2275984998144 is a wasteful number, since it uses less digits than its factorization.

2275984998144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255906 (or 255880 counting only the distinct ones).

The product of its digits is 418037760, while the sum is 72.

The spelling of 2275984998144 in words is "two trillion, two hundred seventy-five billion, nine hundred eighty-four million, nine hundred ninety-eight thousand, one hundred forty-four".