2877249600 has 315 divisors, whose sum is σ = 10647502327. Its totient is φ = 762117120.

The previous prime is 2877249589. The next prime is 2877249601. The reversal of 2877249600 is 69427782.

The square root of 2877249600 is 53640.

It is a perfect power (a square), and thus also a powerful number.

2877249600 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 858724416 + 2018525184 = 29304^2 + 44928^2 .

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2877249601) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 19310326 + ... + 19310474.

Almost surely, 2^2877249600 is an apocalyptic number.

2877249600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2877249600 is the 53640-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2877249600

2877249600 is an abundant number, since it is smaller than the sum of its proper divisors (7770252727).

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

2877249600 is an equidigital number, since it uses as much as digits as its factorization.

2877249600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The cubic root of 2877249600 is about 1422.3042664620.

The spelling of 2877249600 in words is "two billion, eight hundred seventy-seven million, two hundred forty-nine thousand, six hundred".