2463612768100 has 243 divisors, whose sum is σ = 6210047142873. Its totient is φ = 847578600000.

The previous prime is 2463612768077. The next prime is 2463612768101. The reversal of 2463612768100 is 18672163642.

The square root of 2463612768100 is 1569590.

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

It can be written as a sum of positive squares in only one way, i.e., 886900596516 + 1576712171584 = 941754^2 + 1255672^2 .

It is a super-2 number, since 2×2463612768100² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2463612768101) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3280442725 + ... + 3280443475.

Almost surely, 2^{2463612768100} is an apocalyptic number.

2463612768100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2463612768100 is the 1569590-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2463612768100

2463612768100 is an abundant number, since it is smaller than the sum of its proper divisors (3746434374773).

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

2463612768100 is a wasteful number, since it uses less digits than its factorization.

2463612768100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1576 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 46.

The spelling of 2463612768100 in words is "two trillion, four hundred sixty-three billion, six hundred twelve million, seven hundred sixty-eight thousand, one hundred".