2488853312100 has 189 divisors, whose sum is σ = 8098899356233. Its totient is φ = 663580628640.

The previous prime is 2488853312081. The next prime is 2488853312147. The reversal of 2488853312100 is 12133588842.

The square root of 2488853312100 is 1577610.

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

2488853312100 is a `hidden beast` number, since 2 + 4 + 8 + 8 + 8 + 533 + 1 + 2 + 100 = 666.

It can be written as a sum of positive squares in only one way, i.e., 895987192356 + 1592866119744 = 946566^2 + 1262088^2 .

It is a super-3 number, since 3×2488853312100³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 425951779 + ... + 425957621.

Almost surely, 2^{2488853312100} is an apocalyptic number.

2488853312100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2488853312100 is the 1577610-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2488853312100

2488853312100 is an abundant number, since it is smaller than the sum of its proper divisors (5610046044133).

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

2488853312100 is an frugal number, since it uses more digits than its factorization.

2488853312100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11718 (or 5853 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 2488853312100 in words is "two trillion, four hundred eighty-eight billion, eight hundred fifty-three million, three hundred twelve thousand, one hundred".