2246140653120 has 2240 divisors, whose sum is σ = 10187668947456. Its totient is φ = 457213870080.

The previous prime is 2246140653083. The next prime is 2246140653157. The reversal of 2246140653120 is 213560416422.

2246140653120 is a `hidden beast` number, since 2 + 2 + 4 + 61 + 40 + 6 + 531 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (2246140653083) and next prime (2246140653157).

It is a tau number, because it is divible by the number of its divisors (2240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 9640088524 + ... + 9640088756.

Almost surely, 2^{2246140653120} is an apocalyptic number.

2246140653120 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 2246140653120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5093834473728).

2246140653120 is an abundant number, since it is smaller than the sum of its proper divisors (7941528294336).

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

2246140653120 is a wasteful number, since it uses less digits than its factorization.

2246140653120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 2246140653120 in words is "two trillion, two hundred forty-six billion, one hundred forty million, six hundred fifty-three thousand, one hundred twenty".