249074630640 has 320 divisors, whose sum is σ = 947478643200. Its totient is φ = 60381262080.

The previous prime is 249074630617. The next prime is 249074630647. The reversal of 249074630640 is 46036470942.

It is a happy number.

249074630640 is a `hidden beast` number, since 2 + 4 + 9 + 0 + 7 + 4 + 630 + 6 + 4 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249074630647) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1859851 + ... + 1989269.

It is an arithmetic number, because the mean of its divisors is an integer number (2960870760).

Almost surely, 2^249074630640 is an apocalyptic number.

249074630640 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 249074630640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473739321600).

249074630640 is an abundant number, since it is smaller than the sum of its proper divisors (698404012560).

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

249074630640 is a wasteful number, since it uses less digits than its factorization.

249074630640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129464 (or 129440 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 249074630640 in words is "two hundred forty-nine billion, seventy-four million, six hundred thirty thousand, six hundred forty".