2079701699400 has 288 divisors, whose sum is σ = 7696512183360. Its totient is φ = 500021061120.

The previous prime is 2079701699359. The next prime is 2079701699519. The reversal of 2079701699400 is 49961079702.

2079701699400 is a `hidden beast` number, since 2 + 0 + 7 + 9 + 70 + 169 + 9 + 400 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 27244 + ... + 2039643.

Almost surely, 2^{2079701699400} is an apocalyptic number.

2079701699400 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 2079701699400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3848256091680).

2079701699400 is an abundant number, since it is smaller than the sum of its proper divisors (5616810483960).

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

2079701699400 is a wasteful number, since it uses less digits than its factorization.

2079701699400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2066965 (or 2066953 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 54.

The spelling of 2079701699400 in words is "two trillion, seventy-nine billion, seven hundred one million, six hundred ninety-nine thousand, four hundred".