296392212480 has 960 divisors, whose sum is σ = 1210187543040. Its totient is φ = 60246982656.

The previous prime is 296392212437. The next prime is 296392212499. The reversal of 296392212480 is 84212293692.

It is a tau number, because it is divible by the number of its divisors (960).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 648560412 + ... + 648560868.

It is an arithmetic number, because the mean of its divisors is an integer number (1260612024).

Almost surely, 2^296392212480 is an apocalyptic number.

296392212480 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 296392212480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605093771520).

296392212480 is an abundant number, since it is smaller than the sum of its proper divisors (913795330560).

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

296392212480 is a wasteful number, since it uses less digits than its factorization.

296392212480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The spelling of 296392212480 in words is "two hundred ninety-six billion, three hundred ninety-two million, two hundred twelve thousand, four hundred eighty".