2466988442100 has 864 divisors, whose sum is σ = 10204215221760. Its totient is φ = 506426618880.

The previous prime is 2466988442053. The next prime is 2466988442117. The reversal of 2466988442100 is 12448896642.

It is a happy number.

2466988442100 is a `hidden beast` number, since 2 + 4 + 6 + 6 + 98 + 8 + 442 + 100 = 666.

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 287 ways as a sum of consecutive naturals, for example, 63616917 + ... + 63655683.

Almost surely, 2^{2466988442100} is an apocalyptic number.

2466988442100 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 2466988442100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5102107610880).

2466988442100 is an abundant number, since it is smaller than the sum of its proper divisors (7737226779660).

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

2466988442100 is a wasteful number, since it uses less digits than its factorization.

2466988442100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38854 (or 38834 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 2466988442100 in words is "two trillion, four hundred sixty-six billion, nine hundred eighty-eight million, four hundred forty-two thousand, one hundred".