2007954531072 has 720 divisors, whose sum is σ = 7320770614080. Its totient is φ = 534323920896.

The previous prime is 2007954531029. The next prime is 2007954531103. The reversal of 2007954531072 is 2701354597002.

It is a happy number.

2007954531072 is a `hidden beast` number, since 2 + 0 + 0 + 7 + 9 + 545 + 31 + 0 + 72 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 239351454 + ... + 239359842.

It is an arithmetic number, because the mean of its divisors is an integer number (10167736964).

Almost surely, 2^{2007954531072} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2007954531072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3660385307040).

2007954531072 is an abundant number, since it is smaller than the sum of its proper divisors (5312816083008).

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

2007954531072 is an equidigital number, since it uses as much as digits as its factorization.

2007954531072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8538 (or 8515 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 2007954531072 in words is "two trillion, seven billion, nine hundred fifty-four million, five hundred thirty-one thousand, seventy-two".