2249965514160 has 640 divisors, whose sum is σ = 9694732830720. Its totient is φ = 466933248000.

The previous prime is 2249965514123. The next prime is 2249965514161. The reversal of 2249965514160 is 614155699422.

It is a happy number.

2249965514160 is a `hidden beast` number, since 2 + 2 + 4 + 9 + 9 + 65 + 514 + 1 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2249965514097 and 2249965514106.

It is not an unprimeable number, because it can be changed into a prime (2249965514161) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11896335 + ... + 12083985.

It is an arithmetic number, because the mean of its divisors is an integer number (15148020048).

Almost surely, 2^{2249965514160} is an apocalyptic number.

2249965514160 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 2249965514160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4847366415360).

2249965514160 is an abundant number, since it is smaller than the sum of its proper divisors (7444767316560).

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

2249965514160 is a wasteful number, since it uses less digits than its factorization.

2249965514160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187754 (or 187742 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 2249965514160 in words is "two trillion, two hundred forty-nine billion, nine hundred sixty-five million, five hundred fourteen thousand, one hundred sixty".