249402033920 has 288 divisors, whose sum is σ = 653059471680. Its totient is φ = 91248967680.

The previous prime is 249402033899. The next prime is 249402033967. The reversal of 249402033920 is 29330204942.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 368392622 + ... + 368393298.

It is an arithmetic number, because the mean of its divisors is an integer number (2267567610).

Almost surely, 2^249402033920 is an apocalyptic number.

249402033920 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 249402033920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326529735840).

249402033920 is an abundant number, since it is smaller than the sum of its proper divisors (403657437760).

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

249402033920 is an equidigital number, since it uses as much as digits as its factorization.

249402033920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 38.

The spelling of 249402033920 in words is "two hundred forty-nine billion, four hundred two million, thirty-three thousand, nine hundred twenty".