2264278907520 has 1024 divisors, whose sum is σ = 9678099456000. Its totient is φ = 488745861120.

The previous prime is 2264278907509. The next prime is 2264278907531. The reversal of 2264278907520 is 257098724622.

2264278907520 is a `hidden beast` number, since 2 + 2 + 6 + 4 + 27 + 8 + 90 + 7 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (2264278907509) and next prime (2264278907531).

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 811277325 + ... + 811280115.

It is an arithmetic number, because the mean of its divisors is an integer number (9451269000).

Almost surely, 2^{2264278907520} is an apocalyptic number.

2264278907520 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 2264278907520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4839049728000).

2264278907520 is an abundant number, since it is smaller than the sum of its proper divisors (7413820548480).

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

2264278907520 is a wasteful number, since it uses less digits than its factorization.

2264278907520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3198 (or 3180 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 2264278907520 in words is "two trillion, two hundred sixty-four billion, two hundred seventy-eight million, nine hundred seven thousand, five hundred twenty".