245264859840 has 1344 divisors, whose sum is σ = 1089151349760. Its totient is φ = 45354516480.

The previous prime is 245264859821. The next prime is 245264859859. The reversal of 245264859840 is 48958462542.

It is an interprime number because it is at equal distance from previous prime (245264859821) and next prime (245264859859).

It is a tau number, because it is divible by the number of its divisors (1344).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 362281582 + ... + 362282258.

Almost surely, 2^245264859840 is an apocalyptic number.

245264859840 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 245264859840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544575674880).

245264859840 is an abundant number, since it is smaller than the sum of its proper divisors (843886489920).

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

245264859840 is a wasteful number, since it uses less digits than its factorization.

245264859840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 22118400, while the sum is 57.

The spelling of 245264859840 in words is "two hundred forty-five billion, two hundred sixty-four million, eight hundred fifty-nine thousand, eight hundred forty".