2076429600 has 576 divisors, whose sum is σ = 8879431680. Its totient is φ = 458265600.

The previous prime is 2076429599. The next prime is 2076429613. The reversal of 2076429600 is 69246702.

It is a happy number.

2076429600 is a `hidden beast` number, since 2 + 0 + 7 + 6 + 42 + 9 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4686979 + ... + 4687421.

It is an arithmetic number, because the mean of its divisors is an integer number (15415680).

Almost surely, 2^2076429600 is an apocalyptic number.

2076429600 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 2076429600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4439715840).

2076429600 is an abundant number, since it is smaller than the sum of its proper divisors (6803002080).

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

2076429600 is a wasteful number, since it uses less digits than its factorization.

2076429600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 2076429600 is about 45567.8570924725. The cubic root of 2076429600 is about 1275.7700538529.

The spelling of 2076429600 in words is "two billion, seventy-six million, four hundred twenty-nine thousand, six hundred".