2842148400 has 480 divisors, whose sum is σ = 11872240128. Its totient is φ = 564019200.

The previous prime is 2842148363. The next prime is 2842148401. The reversal of 2842148400 is 48412482.

It is not an unprimeable number, because it can be changed into a prime (2842148401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1855635 + ... + 1857165.

Almost surely, 2^2842148400 is an apocalyptic number.

2842148400 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 2842148400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5936120064).

2842148400 is an abundant number, since it is smaller than the sum of its proper divisors (9030091728).

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

2842148400 is a wasteful number, since it uses less digits than its factorization.

2842148400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1589 (or 1578 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 33.

The square root of 2842148400 is about 53311.8035710667. The cubic root of 2842148400 is about 1416.4967534779.

The spelling of 2842148400 in words is "two billion, eight hundred forty-two million, one hundred forty-eight thousand, four hundred".