2797142968620 has 1728 divisors, whose sum is σ = 12302441948160. Its totient is φ = 504258048000.

The previous prime is 2797142968603. The next prime is 2797142968643. The reversal of 2797142968620 is 268692417972.

2797142968620 is a `hidden beast` number, since 2 + 7 + 97 + 1 + 429 + 68 + 62 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 3618554554 + ... + 3618555326.

It is an arithmetic number, because the mean of its divisors is an integer number (7119468720).

Almost surely, 2^{2797142968620} is an apocalyptic number.

2797142968620 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 2797142968620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6151220974080).

2797142968620 is an abundant number, since it is smaller than the sum of its proper divisors (9505298979540).

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

2797142968620 is a wasteful number, since it uses less digits than its factorization.

2797142968620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 996 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 2797142968620 in words is "two trillion, seven hundred ninety-seven billion, one hundred forty-two million, nine hundred sixty-eight thousand, six hundred twenty".