2994933381440 has 896 divisors, whose sum is σ = 9940956512256. Its totient is φ = 829108224000.

The previous prime is 2994933381383. The next prime is 2994933381493. The reversal of 2994933381440 is 441833394992.

2994933381440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2994933381440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1956193475 + ... + 1956195005.

It is an arithmetic number, because the mean of its divisors is an integer number (11094817536).

Almost surely, 2^{2994933381440} is an apocalyptic number.

2994933381440 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 2994933381440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4970478256128).

2994933381440 is an abundant number, since it is smaller than the sum of its proper divisors (6946023130816).

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

2994933381440 is a wasteful number, since it uses less digits than its factorization.

2994933381440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1807 (or 1797 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 59.

The spelling of 2994933381440 in words is "two trillion, nine hundred ninety-four billion, nine hundred thirty-three million, three hundred eighty-one thousand, four hundred forty".