254239352640 has 2688 divisors, whose sum is σ = 1232667770880. Its totient is φ = 48372940800.

The previous prime is 254239352639. The next prime is 254239352657. The reversal of 254239352640 is 46253932452.

254239352640 is a `hidden beast` number, since 2 + 5 + 4 + 239 + 352 + 64 + 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 an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4167858210 + ... + 4167858270.

It is an arithmetic number, because the mean of its divisors is an integer number (458581760).

Almost surely, 2^254239352640 is an apocalyptic number.

254239352640 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 254239352640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616333885440).

254239352640 is an abundant number, since it is smaller than the sum of its proper divisors (978428418240).

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

254239352640 is a wasteful number, since it uses less digits than its factorization.

254239352640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 254239352640 in words is "two hundred fifty-four billion, two hundred thirty-nine million, three hundred fifty-two thousand, six hundred forty".