2987876879040 has 224 divisors, whose sum is σ = 9554611320000. Its totient is φ = 791052337152.

The previous prime is 2987876879027. The next prime is 2987876879047. The reversal of 2987876879040 is 409786787892.

2987876879040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (75) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2987876879047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 461872926 + ... + 461879394.

Almost surely, 2^{2987876879040} is an apocalyptic number.

2987876879040 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 2987876879040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4777305660000).

2987876879040 is an abundant number, since it is smaller than the sum of its proper divisors (6566734440960).

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

2987876879040 is a wasteful number, since it uses less digits than its factorization.

2987876879040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9867 (or 9857 counting only the distinct ones).

The product of its (nonzero) digits is 682795008, while the sum is 75.

The spelling of 2987876879040 in words is "two trillion, nine hundred eighty-seven billion, eight hundred seventy-six million, eight hundred seventy-nine thousand, forty".