2048180400 has 540 divisors, whose sum is σ = 8767387512. Its totient is φ = 439971840.

The previous prime is 2048180377. The next prime is 2048180413. The reversal of 2048180400 is 40818402.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2998459 + ... + 2999141.

Almost surely, 2^2048180400 is an apocalyptic number.

2048180400 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 2048180400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4383693756).

2048180400 is an abundant number, since it is smaller than the sum of its proper divisors (6719207112).

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

2048180400 is a wasteful number, since it uses less digits than its factorization.

2048180400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 2048180400 is about 45256.8271092882. The cubic root of 2048180400 is about 1269.9581278691.

Adding to 2048180400 its reverse (40818402), we get a palindrome (2088998802).

The spelling of 2048180400 in words is "two billion, forty-eight million, one hundred eighty thousand, four hundred".