249667200720 has 960 divisors, whose sum is σ = 1033602845184. Its totient is φ = 54822666240.

The previous prime is 249667200707. The next prime is 249667200763. The reversal of 249667200720 is 27002766942.

It is a super-2 number, since 2×249667200720² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 407287134 + ... + 407287746.

Almost surely, 2^249667200720 is an apocalyptic number.

249667200720 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 249667200720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516801422592).

249667200720 is an abundant number, since it is smaller than the sum of its proper divisors (783935644464).

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

249667200720 is a wasteful number, since it uses less digits than its factorization.

249667200720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 249667200720 in words is "two hundred forty-nine billion, six hundred sixty-seven million, two hundred thousand, seven hundred twenty".