2481657328900 has 36 divisors (see below), whose sum is σ = 5530742260708. Its totient is φ = 965834202240.

The previous prime is 2481657328883. The next prime is 2481657328907. The reversal of 2481657328900 is 98237561842.

It can be written as a sum of positive squares in 6 ways, for example, as 13182713856 + 2468474615044 = 114816^2 + 1571138^2 .

It is not an unprimeable number, because it can be changed into a prime (2481657328907) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 335355399 + ... + 335362798.

It is a 1-persistent number, because it is pandigital, but 2⋅2481657328900 = 4963314657800 is not.

Almost surely, 2^{2481657328900} is an apocalyptic number.

2481657328900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2481657328900 is an abundant number, since it is smaller than the sum of its proper divisors (3049084931808).

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

2481657328900 is a wasteful number, since it uses less digits than its factorization.

2481657328900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670718248 (or 670718241 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 55.

The spelling of 2481657328900 in words is "two trillion, four hundred eighty-one billion, six hundred fifty-seven million, three hundred twenty-eight thousand, nine hundred".