2150681367744 has 336 divisors, whose sum is σ = 7868135778048. Its totient is φ = 567212295168.

The previous prime is 2150681367701. The next prime is 2150681367763. The reversal of 2150681367744 is 4477631860512.

2150681367744 is a `hidden beast` number, since 2 + 1 + 506 + 8 + 1 + 3 + 67 + 74 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×2150681367744² (a number of 25 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 655399 + ... + 2175065.

It is an arithmetic number, because the mean of its divisors is an integer number (23417070768).

Almost surely, 2^{2150681367744} is an apocalyptic number.

2150681367744 is a gapful number since it is divisible by the number (24) 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 2150681367744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3934067889024).

2150681367744 is an abundant number, since it is smaller than the sum of its proper divisors (5717454410304).

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

2150681367744 is a wasteful number, since it uses less digits than its factorization.

2150681367744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1519714 (or 1519692 counting only the distinct ones).

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

The spelling of 2150681367744 in words is "two trillion, one hundred fifty billion, six hundred eighty-one million, three hundred sixty-seven thousand, seven hundred forty-four".