2797334292480 has 1536 divisors, whose sum is σ = 11496967372800. Its totient is φ = 568177459200.

The previous prime is 2797334292451. The next prime is 2797334292497. The reversal of 2797334292480 is 842924337972.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14645729185 + ... + 14645729375.

It is an arithmetic number, because the mean of its divisors is an integer number (7485004800).

Almost surely, 2^{2797334292480} is an apocalyptic number.

2797334292480 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 2797334292480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5748483686400).

2797334292480 is an abundant number, since it is smaller than the sum of its proper divisors (8699633080320).

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

2797334292480 is a wasteful number, since it uses less digits than its factorization.

2797334292480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 60.

The spelling of 2797334292480 in words is "two trillion, seven hundred ninety-seven billion, three hundred thirty-four million, two hundred ninety-two thousand, four hundred eighty".