2941630513920 has 432 divisors, whose sum is σ = 11635832033280. Its totient is φ = 672133718016.

The previous prime is 2941630513907. The next prime is 2941630513933. The reversal of 2941630513920 is 293150361492.

2941630513920 is a `hidden beast` number, since 2 + 9 + 4 + 1 + 630 + 5 + 1 + 3 + 9 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2941630513907) and next prime (2941630513933).

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 (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 332796861 + ... + 332805699.

Almost surely, 2^{2941630513920} is an apocalyptic number.

2941630513920 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 2941630513920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5817916016640).

2941630513920 is an abundant number, since it is smaller than the sum of its proper divisors (8694201519360).

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

2941630513920 is a wasteful number, since it uses less digits than its factorization.

2941630513920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13000 (or 12983 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 2941630513920 in words is "two trillion, nine hundred forty-one billion, six hundred thirty million, five hundred thirteen thousand, nine hundred twenty".