2260478123904 has 1024 divisors, whose sum is σ = 8286344478720. Its totient is φ = 527037235200.

The previous prime is 2260478123899. The next prime is 2260478123921. The reversal of 2260478123904 is 4093218740622.

It is a super-2 number, since 2×2260478123904² (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 an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 3811935832 + ... + 3811936424.

It is an arithmetic number, because the mean of its divisors is an integer number (8092133280).

Almost surely, 2^{2260478123904} is an apocalyptic number.

2260478123904 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 2260478123904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4143172239360).

2260478123904 is an abundant number, since it is smaller than the sum of its proper divisors (6025866354816).

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

2260478123904 is a wasteful number, since it uses less digits than its factorization.

2260478123904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 2260478123904 in words is "two trillion, two hundred sixty billion, four hundred seventy-eight million, one hundred twenty-three thousand, nine hundred four".