2896198560 has 144 divisors (see below), whose sum is σ = 10202250240. Its totient is φ = 747394560.

The previous prime is 2896198537. The next prime is 2896198567. The reversal of 2896198560 is 658916982.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 2896198497 and 2896198506.

It is not an unprimeable number, because it can be changed into a prime (2896198567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12201 + ... + 77079.

It is an arithmetic number, because the mean of its divisors is an integer number (70848960).

Almost surely, 2^2896198560 is an apocalyptic number.

2896198560 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 2896198560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5101125120).

2896198560 is an abundant number, since it is smaller than the sum of its proper divisors (7306051680).

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

2896198560 is a wasteful number, since it uses less digits than its factorization.

2896198560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64931 (or 64920 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The square root of 2896198560 is about 53816.3410127444. The cubic root of 2896198560 is about 1425.4197692245.

The spelling of 2896198560 in words is "two billion, eight hundred ninety-six million, one hundred ninety-eight thousand, five hundred sixty".