2428984590400 has 189 divisors, whose sum is σ = 6114067484439. Its totient is φ = 949774556160.

The previous prime is 2428984590397. The next prime is 2428984590413. The reversal of 2428984590400 is 40954898242.

The square root of 2428984590400 is 1558520.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 10536611904 + 2418447978496 = 102648^2 + 1555136^2 .

It is a super-2 number, since 2×2428984590400² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2930017186 + ... + 2930018014.

Almost surely, 2^{2428984590400} is an apocalyptic number.

2428984590400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2428984590400 is the 1558520-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2428984590400

2428984590400 is an abundant number, since it is smaller than the sum of its proper divisors (3685082894039).

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

2428984590400 is an frugal number, since it uses more digits than its factorization.

2428984590400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1774 (or 883 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 55.

The spelling of 2428984590400 in words is "two trillion, four hundred twenty-eight billion, nine hundred eighty-four million, five hundred ninety thousand, four hundred".