2264085977280 has 224 divisors, whose sum is σ = 7250545336320. Its totient is φ = 598550077440.

The previous prime is 2264085977269. The next prime is 2264085977281. The reversal of 2264085977280 is 827795804622.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (2264085977281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 180557251 + ... + 180569789.

Almost surely, 2^{2264085977280} is an apocalyptic number.

2264085977280 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 2264085977280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3625272668160).

2264085977280 is an abundant number, since it is smaller than the sum of its proper divisors (4986459359040).

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

2264085977280 is a wasteful number, since it uses less digits than its factorization.

2264085977280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14167 (or 14157 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 60.

The spelling of 2264085977280 in words is "two trillion, two hundred sixty-four billion, eighty-five million, nine hundred seventy-seven thousand, two hundred eighty".