2275103769120 has 1152 divisors, whose sum is σ = 9891018708480. Its totient is φ = 478235197440.

The previous prime is 2275103769083. The next prime is 2275103769157. The reversal of 2275103769120 is 219673015722.

It is a happy number.

2275103769120 is a `hidden beast` number, since 2 + 2 + 7 + 510 + 3 + 7 + 6 + 9 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (2275103769083) and next prime (2275103769157).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1722258060 + ... + 1722259380.

It is an arithmetic number, because the mean of its divisors is an integer number (8585953740).

Almost surely, 2^{2275103769120} is an apocalyptic number.

2275103769120 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 2275103769120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4945509354240).

2275103769120 is an abundant number, since it is smaller than the sum of its proper divisors (7615914939360).

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

2275103769120 is a wasteful number, since it uses less digits than its factorization.

2275103769120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1715 (or 1688 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 2275103769120 in words is "two trillion, two hundred seventy-five billion, one hundred three million, seven hundred sixty-nine thousand, one hundred twenty".