2929190109120 has 2688 divisors, whose sum is σ = 12702464409600. Its totient is φ = 632282112000.

The previous prime is 2929190109103. The next prime is 2929190109137. The reversal of 2929190109120 is 219010919292.

It is an interprime number because it is at equal distance from previous prime (2929190109103) and next prime (2929190109137).

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

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 41256198685 + ... + 41256198755.

It is an arithmetic number, because the mean of its divisors is an integer number (4725619200).

Almost surely, 2^{2929190109120} is an apocalyptic number.

2929190109120 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 2929190109120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6351232204800).

2929190109120 is an abundant number, since it is smaller than the sum of its proper divisors (9773274300480).

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

2929190109120 is a wasteful number, since it uses less digits than its factorization.

2929190109120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 45.

The spelling of 2929190109120 in words is "two trillion, nine hundred twenty-nine billion, one hundred ninety million, one hundred nine thousand, one hundred twenty".