2974338407040 has 1536 divisors, whose sum is σ = 12953203845120. Its totient is φ = 560635084800.

The previous prime is 2974338407021. The next prime is 2974338407057. The reversal of 2974338407040 is 407048334792.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9688398567 + ... + 9688398873.

It is an arithmetic number, because the mean of its divisors is an integer number (8433075420).

Almost surely, 2^{2974338407040} is an apocalyptic number.

2974338407040 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 2974338407040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6476601922560).

2974338407040 is an abundant number, since it is smaller than the sum of its proper divisors (9978865438080).

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

2974338407040 is a wasteful number, since it uses less digits than its factorization.

2974338407040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 51.

The spelling of 2974338407040 in words is "two trillion, nine hundred seventy-four billion, three hundred thirty-eight million, four hundred seven thousand, forty".