2547198240 has 96 divisors (see below), whose sum is σ = 8101731456. Its totient is φ = 672645120.

The previous prime is 2547198223. The next prime is 2547198259. The reversal of 2547198240 is 428917452.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 2547198192 and 2547198201.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23680 + ... + 75200.

It is an arithmetic number, because the mean of its divisors is an integer number (84393036).

Almost surely, 2^2547198240 is an apocalyptic number.

2547198240 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 2547198240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4050865728).

2547198240 is an abundant number, since it is smaller than the sum of its proper divisors (5554533216).

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

2547198240 is a wasteful number, since it uses less digits than its factorization.

2547198240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51642 (or 51634 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 2547198240 is about 50469.7755097048. The cubic root of 2547198240 is about 1365.6966643302.

The spelling of 2547198240 in words is "two billion, five hundred forty-seven million, one hundred ninety-eight thousand, two hundred forty".