2929812480 has 528 divisors, whose sum is σ = 12017101824. Its totient is φ = 645857280.

The previous prime is 2929812469. The next prime is 2929812491. The reversal of 2929812480 is 842189292.

It is a happy number.

2929812480 is a `hidden beast` number, since 2 + 92 + 9 + 81 + 2 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (2929812469) and next prime (2929812491).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9999214 + ... + 9999506.

Almost surely, 2^2929812480 is an apocalyptic number.

2929812480 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 2929812480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6008550912).

2929812480 is an abundant number, since it is smaller than the sum of its proper divisors (9087289344).

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

2929812480 is a wasteful number, since it uses less digits than its factorization.

2929812480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 2929812480 is about 54127.7422400011. The cubic root of 2929812480 is about 1430.9131501217.

It can be divided in two parts, 2929 and 812480, that added together give a square (815409 = 903²).

The spelling of 2929812480 in words is "two billion, nine hundred twenty-nine million, eight hundred twelve thousand, four hundred eighty".