2940264969408 has 336 divisors, whose sum is σ = 9254128141440. Its totient is φ = 886969294848.

The previous prime is 2940264969373. The next prime is 2940264969457. The reversal of 2940264969408 is 8049694620492.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 945725358 + ... + 945728466.

It is an arithmetic number, because the mean of its divisors is an integer number (27542048040).

Almost surely, 2^{2940264969408} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2940264969408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4627064070720).

2940264969408 is an abundant number, since it is smaller than the sum of its proper divisors (6313863172032).

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

2940264969408 is a wasteful number, since it uses less digits than its factorization.

2940264969408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5576 (or 5563 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 63.

The spelling of 2940264969408 in words is "two trillion, nine hundred forty billion, two hundred sixty-four million, nine hundred sixty-nine thousand, four hundred eight".