2078697600 has 576 divisors, whose sum is σ = 8867512800. Its totient is φ = 474163200.

The previous prime is 2078697587. The next prime is 2078697631. The reversal of 2078697600 is 67968702.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 4233355 + ... + 4233845.

Almost surely, 2^2078697600 is an apocalyptic number.

2078697600 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 2078697600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4433756400).

2078697600 is an abundant number, since it is smaller than the sum of its proper divisors (6788815200).

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

2078697600 is a wasteful number, since it uses less digits than its factorization.

2078697600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 2078697600 is about 45592.7362635760. The cubic root of 2078697600 is about 1276.2343755032.

The spelling of 2078697600 in words is "two billion, seventy-eight million, six hundred ninety-seven thousand, six hundred".