2262463871616 has 768 divisors, whose sum is σ = 7551538176000. Its totient is φ = 669562122240.

The previous prime is 2262463871611. The next prime is 2262463871621. The reversal of 2262463871616 is 6161783642622.

2262463871616 is a `hidden beast` number, since 2 + 2 + 6 + 246 + 387 + 1 + 6 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (2262463871611) and next prime (2262463871621).

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

It is not an unprimeable number, because it can be changed into a prime (2262463871611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2494447035 + ... + 2494447941.

It is an arithmetic number, because the mean of its divisors is an integer number (9832732000).

Almost surely, 2^{2262463871616} is an apocalyptic number.

2262463871616 is a gapful number since it is divisible by the number (26) 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 2262463871616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3775769088000).

2262463871616 is an abundant number, since it is smaller than the sum of its proper divisors (5289074304384).

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

2262463871616 is a wasteful number, since it uses less digits than its factorization.

2262463871616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179 (or 1155 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The spelling of 2262463871616 in words is "two trillion, two hundred sixty-two billion, four hundred sixty-three million, eight hundred seventy-one thousand, six hundred sixteen".