2242305251040 has 96 divisors (see below), whose sum is σ = 7072544245536. Its totient is φ = 597162229760.

The previous prime is 2242305250901. The next prime is 2242305251059. The reversal of 2242305251040 is 401525032422.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2242305250989 and 2242305251007.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2704017 + ... + 3434576.

It is an arithmetic number, because the mean of its divisors is an integer number (73672335891).

Almost surely, 2^{2242305251040} is an apocalyptic number.

2242305251040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2242305251040 is an abundant number, since it is smaller than the sum of its proper divisors (4830238994496).

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

2242305251040 is a wasteful number, since it uses less digits than its factorization.

2242305251040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6139372 (or 6139364 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The spelling of 2242305251040 in words is "two trillion, two hundred forty-two billion, three hundred five million, two hundred fifty-one thousand, forty".