249676001820 has 288 divisors, whose sum is σ = 911180454912. Its totient is φ = 54103762944.

The previous prime is 249676001753. The next prime is 249676001833. The reversal of 249676001820 is 28100676942.

It is a happy number.

249676001820 is a `hidden beast` number, since 2 + 4 + 9 + 6 + 7 + 600 + 18 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3236619 + ... + 3312861.

It is an arithmetic number, because the mean of its divisors is an integer number (3163821024).

Almost surely, 2^249676001820 is an apocalyptic number.

249676001820 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 249676001820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455590227456).

249676001820 is an abundant number, since it is smaller than the sum of its proper divisors (661504453092).

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

249676001820 is a wasteful number, since it uses less digits than its factorization.

249676001820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76401 (or 76396 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 249676001820 in words is "two hundred forty-nine billion, six hundred seventy-six million, one thousand, eight hundred twenty".