245302009020 has 288 divisors, whose sum is σ = 784895215104. Its totient is φ = 61891315200.

The previous prime is 245302009019. The next prime is 245302009037. The reversal of 245302009020 is 20900203542.

245302009020 is a `hidden beast` number, since 2 + 4 + 530 + 20 + 0 + 90 + 20 = 666.

It is a super-2 number, since 2×245302009020² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 240256110 + ... + 240257130.

It is an arithmetic number, because the mean of its divisors is an integer number (2725330608).

Almost surely, 2^245302009020 is an apocalyptic number.

245302009020 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 245302009020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392447607552).

245302009020 is an abundant number, since it is smaller than the sum of its proper divisors (539593206084).

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

245302009020 is a wasteful number, since it uses less digits than its factorization.

245302009020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1633 (or 1628 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 245302009020 in words is "two hundred forty-five billion, three hundred two million, nine thousand, twenty".