2264871102368 has 288 divisors, whose sum is σ = 5583966159744. Its totient is φ = 898325987328.

The previous prime is 2264871102367. The next prime is 2264871102451. The reversal of 2264871102368 is 8632011784622.

It is a super-2 number, since 2×2264871102368² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2264871102367) 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, 1898466380 + ... + 1898467572.

It is an arithmetic number, because the mean of its divisors is an integer number (19388771388).

Almost surely, 2^{2264871102368} is an apocalyptic number.

2264871102368 is a gapful number since it is divisible by the number (28) 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 2264871102368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2791983079872).

2264871102368 is an abundant number, since it is smaller than the sum of its proper divisors (3319095057376).

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

2264871102368 is a wasteful number, since it uses less digits than its factorization.

2264871102368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2364 (or 2349 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 50.

The spelling of 2264871102368 in words is "two trillion, two hundred sixty-four billion, eight hundred seventy-one million, one hundred two thousand, three hundred sixty-eight".