2797306429680 has 2400 divisors, whose sum is σ = 12576367203840. Its totient is φ = 571875655680.

The previous prime is 2797306429679. The next prime is 2797306429681. The reversal of 2797306429680 is 869246037972.

2797306429680 is a `hidden beast` number, since 279 + 73 + 0 + 6 + 4 + 296 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2797306429679) and next prime (2797306429681).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2797306429681) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 12215311806 + ... + 12215312034.

Almost surely, 2^{2797306429680} is an apocalyptic number.

2797306429680 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 2797306429680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6288183601920).

2797306429680 is an abundant number, since it is smaller than the sum of its proper divisors (9779060774160).

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

2797306429680 is a wasteful number, since it uses less digits than its factorization.

2797306429680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 2797306429680 in words is "two trillion, seven hundred ninety-seven billion, three hundred six million, four hundred twenty-nine thousand, six hundred eighty".