2985219600 has 240 divisors, whose sum is σ = 10513493760. Its totient is φ = 718041600.

The previous prime is 2985219571. The next prime is 2985219613. The reversal of 2985219600 is 69125892.

2985219600 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 is a tau number, because it is divible by the number of its divisors (240).

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, 1833987 + ... + 1835613.

It is an arithmetic number, because the mean of its divisors is an integer number (43806224).

Almost surely, 2^2985219600 is an apocalyptic number.

2985219600 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 2985219600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5256746880).

2985219600 is an abundant number, since it is smaller than the sum of its proper divisors (7528274160).

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

2985219600 is a wasteful number, since it uses less digits than its factorization.

2985219600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1798 (or 1787 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 2985219600 is about 54637.1631767243. The cubic root of 2985219600 is about 1439.8771114267.

The spelling of 2985219600 in words is "two billion, nine hundred eighty-five million, two hundred nineteen thousand, six hundred".