2287124593104 has 240 divisors, whose sum is σ = 6644680516800. Its totient is φ = 677009608704.

The previous prime is 2287124593099. The next prime is 2287124593109. The reversal of 2287124593104 is 4013954217822.

It is an interprime number because it is at equal distance from previous prime (2287124593099) and next prime (2287124593109).

It is a super-2 number, since 2×2287124593104² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2287124593109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26670007 + ... + 26755625.

It is an arithmetic number, because the mean of its divisors is an integer number (27686168820).

Almost surely, 2^{2287124593104} is an apocalyptic number.

2287124593104 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 2287124593104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3322340258400).

2287124593104 is an abundant number, since it is smaller than the sum of its proper divisors (4357555923696).

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

2287124593104 is a wasteful number, since it uses less digits than its factorization.

2287124593104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85782 (or 85763 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 2287124593104 in words is "two trillion, two hundred eighty-seven billion, one hundred twenty-four million, five hundred ninety-three thousand, one hundred four".