2992129920 has 384 divisors, whose sum is σ = 11494828800. Its totient is φ = 712212480.

The previous prime is 2992129909. The next prime is 2992129927. The reversal of 2992129920 is 299212992.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2992129927) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2320636 + ... + 2321924.

It is an arithmetic number, because the mean of its divisors is an integer number (29934450).

Almost surely, 2^2992129920 is an apocalyptic number.

2992129920 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 2992129920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5747414400).

2992129920 is an abundant number, since it is smaller than the sum of its proper divisors (8502698880).

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

2992129920 is a wasteful number, since it uses less digits than its factorization.

2992129920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1358 (or 1343 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The square root of 2992129920 is about 54700.3648982345. The cubic root of 2992129920 is about 1440.9872859100.

The spelling of 2992129920 in words is "two billion, nine hundred ninety-two million, one hundred twenty-nine thousand, nine hundred twenty".