245902540032 has 432 divisors, whose sum is σ = 792402549120. Its totient is φ = 72938815488.

The previous prime is 245902540021. The next prime is 245902540043. The reversal of 245902540032 is 230045209542.

245902540032 is a `hidden beast` number, since 2 + 4 + 590 + 25 + 40 + 0 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (245902540021) and next prime (245902540043).

It is a super-2 number, since 2×245902540032² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80175363 + ... + 80178429.

It is an arithmetic number, because the mean of its divisors is an integer number (1834265160).

Almost surely, 2^245902540032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245902540032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396201274560).

245902540032 is an abundant number, since it is smaller than the sum of its proper divisors (546500009088).

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

245902540032 is a wasteful number, since it uses less digits than its factorization.

245902540032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3218 (or 3201 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 245902540032 its reverse (230045209542), we get a palindrome (475947749574).

The spelling of 245902540032 in words is "two hundred forty-five billion, nine hundred two million, five hundred forty thousand, thirty-two".