2959140480000 has 440 divisors, whose sum is σ = 9877093218432. Its totient is φ = 787402752000.

The previous prime is 2959140479987. The next prime is 2959140480019. The reversal of 2959140480000 is 840419592.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1069438617 + ... + 1069441383.

Almost surely, 2^{2959140480000} is an apocalyptic number.

2959140480000 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 2959140480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4938546609216).

2959140480000 is an abundant number, since it is smaller than the sum of its proper divisors (6917952738432).

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

2959140480000 is an equidigital number, since it uses as much as digits as its factorization.

2959140480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3367 (or 3334 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

Adding to 2959140480000 its reverse (840419592), we get a palindrome (2959980899592).

The spelling of 2959140480000 in words is "two trillion, nine hundred fifty-nine billion, one hundred forty million, four hundred eighty thousand".