2242003305120 has 96 divisors (see below), whose sum is σ = 7477740462528. Its totient is φ = 562698866688.

The previous prime is 2242003305023. The next prime is 2242003305131. The reversal of 2242003305120 is 215033002422.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×2242003305120³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137369494 + ... + 137385813.

It is an arithmetic number, because the mean of its divisors is an integer number (77893129818).

Almost surely, 2^{2242003305120} is an apocalyptic number.

2242003305120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2242003305120 is an abundant number, since it is smaller than the sum of its proper divisors (5235737157408).

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

2242003305120 is a wasteful number, since it uses less digits than its factorization.

2242003305120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274755342 (or 274755334 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 2242003305120 its reverse (215033002422), we get a palindrome (2457036307542).

The spelling of 2242003305120 in words is "two trillion, two hundred forty-two billion, three million, three hundred five thousand, one hundred twenty".