2264121331560 has 192 divisors, whose sum is σ = 8029916856000. Its totient is φ = 548701655040.

The previous prime is 2264121331531. The next prime is 2264121331567. The reversal of 2264121331560 is 651331214622.

2264121331560 is a `hidden beast` number, since 2 + 2 + 6 + 41 + 21 + 3 + 31 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2264121331567) 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 47 ways as a sum of consecutive naturals, for example, 12459031 + ... + 12639449.

It is an arithmetic number, because the mean of its divisors is an integer number (41822483625).

Almost surely, 2^{2264121331560} is an apocalyptic number.

2264121331560 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 2264121331560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4014958428000).

2264121331560 is an abundant number, since it is smaller than the sum of its proper divisors (5765795524440).

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

2264121331560 is a wasteful number, since it uses less digits than its factorization.

2264121331560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183616 (or 183609 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 2264121331560 in words is "two trillion, two hundred sixty-four billion, one hundred twenty-one million, three hundred thirty-one thousand, five hundred sixty".