2007460609440 has 192 divisors, whose sum is σ = 7429008327552. Its totient is φ = 449221939200.

The previous prime is 2007460609433. The next prime is 2007460609457. The reversal of 2007460609440 is 449060647002.

It is a super-2 number, since 2×2007460609440² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2007460609392 and 2007460609401.

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, 14554471 + ... + 14691750.

It is an arithmetic number, because the mean of its divisors is an integer number (38692751706).

Almost surely, 2^{2007460609440} is an apocalyptic number.

2007460609440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2007460609440 is an abundant number, since it is smaller than the sum of its proper divisors (5421547718112).

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

2007460609440 is a wasteful number, since it uses less digits than its factorization.

2007460609440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29246263 (or 29246255 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 2007460609440 in words is "two trillion, seven billion, four hundred sixty million, six hundred nine thousand, four hundred forty".