2868900249600 has 1800 divisors, whose sum is σ = 13262374570368. Its totient is φ = 595604275200.

The previous prime is 2868900249539. The next prime is 2868900249629. The reversal of 2868900249600 is 69420098682.

It is a happy number.

2868900249600 is a `hidden beast` number, since 2 + 8 + 6 + 8 + 9 + 0 + 0 + 24 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1800).

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 119 ways as a sum of consecutive naturals, for example, 2554674639 + ... + 2554675761.

Almost surely, 2^{2868900249600} is an apocalyptic number.

2868900249600 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 2868900249600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6631187285184).

2868900249600 is an abundant number, since it is smaller than the sum of its proper divisors (10393474320768).

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

2868900249600 is a wasteful number, since it uses less digits than its factorization.

2868900249600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1191 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 2868900249600 in words is "two trillion, eight hundred sixty-eight billion, nine hundred million, two hundred forty-nine thousand, six hundred".