2264754714040 has 192 divisors, whose sum is σ = 6532081284960. Its totient is φ = 700088417280.

The previous prime is 2264754714029. The next prime is 2264754714119. The reversal of 2264754714040 is 404174574622.

It is a super-2 number, since 2×2264754714040² (a number of 26 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 62110 + ... + 2129170.

Almost surely, 2^{2264754714040} is an apocalyptic number.

2264754714040 is a gapful number since it is divisible by the number (20) 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 2264754714040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3266040642480).

2264754714040 is an abundant number, since it is smaller than the sum of its proper divisors (4267326570920).

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

2264754714040 is a wasteful number, since it uses less digits than its factorization.

2264754714040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2067142 (or 2067131 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 46.

The spelling of 2264754714040 in words is "two trillion, two hundred sixty-four billion, seven hundred fifty-four million, seven hundred fourteen thousand, forty".