2987394510672 has 800 divisors, whose sum is σ = 10351189981440. Its totient is φ = 826733952000.

The previous prime is 2987394510647. The next prime is 2987394510679. The reversal of 2987394510672 is 2760154937892.

2987394510672 is a `hidden beast` number, since 2 + 9 + 87 + 39 + 4 + 510 + 6 + 7 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2987394510679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2264892829 + ... + 2264894147.

It is a 1-persistent number, because it is pandigital, but 2⋅2987394510672 = 5974789021344 is not.

Almost surely, 2^{2987394510672} is an apocalyptic number.

2987394510672 is a gapful number since it is divisible by the number (22) 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 2987394510672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5175594990720).

2987394510672 is an abundant number, since it is smaller than the sum of its proper divisors (7363795470768).

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

2987394510672 is a wasteful number, since it uses less digits than its factorization.

2987394510672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1486 (or 1449 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 2987394510672 in words is "two trillion, nine hundred eighty-seven billion, three hundred ninety-four million, five hundred ten thousand, six hundred seventy-two".