2992460016 has 240 divisors, whose sum is σ = 9657715200. Its totient is φ = 781747200.

The previous prime is 2992459997. The next prime is 2992460021. The reversal of 2992460016 is 6100642992.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8574210 + ... + 8574558.

It is an arithmetic number, because the mean of its divisors is an integer number (40240480).

Almost surely, 2^2992460016 is an apocalyptic number.

2992460016 is a gapful number since it is divisible by the number (26) 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 2992460016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4828857600).

2992460016 is an abundant number, since it is smaller than the sum of its proper divisors (6665255184).

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

2992460016 is a wasteful number, since it uses less digits than its factorization.

2992460016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 2992460016 is about 54703.3821257882. The cubic root of 2992460016 is about 1441.0402745459.

The spelling of 2992460016 in words is "two billion, nine hundred ninety-two million, four hundred sixty thousand, sixteen".