2478828600 has 72 divisors (see below), whose sum is σ = 8324738760. Its totient is φ = 661020480.

The previous prime is 2478828593. The next prime is 2478828601. The reversal of 2478828600 is 68288742.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×2478828600² = 12289182456355920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2478828601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 686764 + ... + 690363.

Almost surely, 2^2478828600 is an apocalyptic number.

2478828600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2478828600 is an abundant number, since it is smaller than the sum of its proper divisors (5845910160).

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

2478828600 is a wasteful number, since it uses less digits than its factorization.

2478828600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1377149 (or 1377137 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 2478828600 is about 49787.8358637931. The cubic root of 2478828600 is about 1353.3667407986.

The spelling of 2478828600 in words is "two billion, four hundred seventy-eight million, eight hundred twenty-eight thousand, six hundred".