249662020608 has 1760 divisors, whose sum is σ = 1043947204608. Its totient is φ = 57330892800.

The previous prime is 249662020541. The next prime is 249662020609. The reversal of 249662020608 is 806020266942.

It is a super-2 number, since 2×249662020608² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249662020609) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2573835216 + ... + 2573835312.

Almost surely, 2^249662020608 is an apocalyptic number.

249662020608 is a gapful number since it is divisible by the number (28) 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 249662020608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521973602304).

249662020608 is an abundant number, since it is smaller than the sum of its proper divisors (794285184000).

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

249662020608 is a wasteful number, since it uses less digits than its factorization.

249662020608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 249662020608 in words is "two hundred forty-nine billion, six hundred sixty-two million, twenty thousand, six hundred eight".