249220177920 has 1344 divisors, whose sum is σ = 1059101971200. Its totient is φ = 56184274944.

The previous prime is 249220177889. The next prime is 249220177951. The reversal of 249220177920 is 29771022942.

It is a happy number.

249220177920 is a `hidden beast` number, since 2 + 492 + 2 + 0 + 1 + 77 + 92 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (249220177889) and next prime (249220177951).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×249220177920² (a number of 24 digits) contains 22 as substring.

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

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, 3413975004 + ... + 3413975076.

It is an arithmetic number, because the mean of its divisors is an integer number (788022300).

Almost surely, 2^249220177920 is an apocalyptic number.

249220177920 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 249220177920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529550985600).

249220177920 is an abundant number, since it is smaller than the sum of its proper divisors (809881793280).

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

249220177920 is an frugal number, since it uses more digits than its factorization.

249220177920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 249220177920 in words is "two hundred forty-nine billion, two hundred twenty million, one hundred seventy-seven thousand, nine hundred twenty".