2007243786240 has 1152 divisors, whose sum is σ = 8817433148160. Its totient is φ = 410163609600.

The previous prime is 2007243786239. The next prime is 2007243786259. The reversal of 2007243786240 is 426873427002.

2007243786240 is a `hidden beast` number, since 200 + 7 + 2 + 437 + 8 + 6 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 432873202 + ... + 432877838.

It is an arithmetic number, because the mean of its divisors is an integer number (7654021830).

Almost surely, 2^{2007243786240} is an apocalyptic number.

2007243786240 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 2007243786240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4408716574080).

2007243786240 is an abundant number, since it is smaller than the sum of its proper divisors (6810189361920).

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

2007243786240 is a wasteful number, since it uses less digits than its factorization.

2007243786240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4749 (or 4726 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 2007243786240 in words is "two trillion, seven billion, two hundred forty-three million, seven hundred eighty-six thousand, two hundred forty".