2992343040 has 384 divisors, whose sum is σ = 10850112000. Its totient is φ = 782106624.

The previous prime is 2992343027. The next prime is 2992343063. The reversal of 2992343040 is 403432992.

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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 2992342986 and 2992343004.

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 31 ways as a sum of consecutive naturals, for example, 21841852 + ... + 21841988.

It is an arithmetic number, because the mean of its divisors is an integer number (28255500).

Almost surely, 2^2992343040 is an apocalyptic number.

2992343040 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 2992343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5425056000).

2992343040 is an abundant number, since it is smaller than the sum of its proper divisors (7857768960).

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

2992343040 is a wasteful number, since it uses less digits than its factorization.

2992343040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 2992343040 is about 54702.3129309904. The cubic root of 2992343040 is about 1441.0214974280.

The spelling of 2992343040 in words is "two billion, nine hundred ninety-two million, three hundred forty-three thousand, forty".