2007225464160 has 192 divisors, whose sum is σ = 7274510208000. Its totient is φ = 455715121152.

The previous prime is 2007225464137. The next prime is 2007225464201. The reversal of 2007225464160 is 614645227002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1504020 + ... + 2505299.

It is an arithmetic number, because the mean of its divisors is an integer number (37888074000).

Almost surely, 2^{2007225464160} is an apocalyptic number.

2007225464160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2007225464160 is an abundant number, since it is smaller than the sum of its proper divisors (5267284743840).

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

2007225464160 is a wasteful number, since it uses less digits than its factorization.

2007225464160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4009493 (or 4009485 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The spelling of 2007225464160 in words is "two trillion, seven billion, two hundred twenty-five million, four hundred sixty-four thousand, one hundred sixty".