2897779200 has 480 divisors, whose sum is σ = 10631212416. Its totient is φ = 692060160.

The previous prime is 2897779139. The next prime is 2897779259. The reversal of 2897779200 is 29777982.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15014304 + ... + 15014496.

Almost surely, 2^2897779200 is an apocalyptic number.

2897779200 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 2897779200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5315606208).

2897779200 is an abundant number, since it is smaller than the sum of its proper divisors (7733433216).

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

2897779200 is a wasteful number, since it uses less digits than its factorization.

2897779200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 889056, while the sum is 51.

The square root of 2897779200 is about 53831.0245118928. The cubic root of 2897779200 is about 1425.6790361796.

The spelling of 2897779200 in words is "two billion, eight hundred ninety-seven million, seven hundred seventy-nine thousand, two hundred".