2860827246900 has 1440 divisors, whose sum is σ = 12196019404800. Its totient is φ = 564127027200.

The previous prime is 2860827246863. The next prime is 2860827246913. The reversal of 2860827246900 is 96427280682.

2860827246900 is a `hidden beast` number, since 2 + 8 + 608 + 2 + 7 + 24 + 6 + 9 + 0 + 0 = 666.

It is a super-2 number, since 2×2860827246900² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 567734581 + ... + 567739619.

It is an arithmetic number, because the mean of its divisors is an integer number (8469457920).

Almost surely, 2^{2860827246900} is an apocalyptic number.

2860827246900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2860827246900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6098009702400).

2860827246900 is an abundant number, since it is smaller than the sum of its proper divisors (9335192157900).

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

2860827246900 is a wasteful number, since it uses less digits than its factorization.

2860827246900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5139 (or 5123 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 2860827246900 in words is "two trillion, eight hundred sixty billion, eight hundred twenty-seven million, two hundred forty-six thousand, nine hundred".