2897768379408 has 240 divisors, whose sum is σ = 9202113616320. Its totient is φ = 781303283712.

The previous prime is 2897768379383. The next prime is 2897768379409. The reversal of 2897768379408 is 8049738677982.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2897768379409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11358660 + ... + 11610972.

It is an arithmetic number, because the mean of its divisors is an integer number (38342140068).

Almost surely, 2^{2897768379408} is an apocalyptic number.

2897768379408 is a gapful number since it is divisible by the number (28) 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 2897768379408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4601056808160).

2897768379408 is an abundant number, since it is smaller than the sum of its proper divisors (6304345236912).

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

2897768379408 is a wasteful number, since it uses less digits than its factorization.

2897768379408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252614 (or 252601 counting only the distinct ones).

The product of its (nonzero) digits is 2048385024, while the sum is 78.

The spelling of 2897768379408 in words is "two trillion, eight hundred ninety-seven billion, seven hundred sixty-eight million, three hundred seventy-nine thousand, four hundred eight".