2992416000 has 576 divisors, whose sum is σ = 11703584256. Its totient is φ = 663552000.

The previous prime is 2992415983. The next prime is 2992416017. The reversal of 2992416000 is 6142992.

It is an interprime number because it is at equal distance from previous prime (2992415983) and next prime (2992416017).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40991964 + ... + 40992036.

Almost surely, 2^2992416000 is an apocalyptic number.

2992416000 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 2992416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5851792128).

2992416000 is an abundant number, since it is smaller than the sum of its proper divisors (8711168256).

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

2992416000 is an equidigital number, since it uses as much as digits as its factorization.

2992416000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 2992416000 is about 54702.9798091475. The cubic root of 2992416000 is about 1441.0332091059.

Adding to 2992416000 its reverse (6142992), we get a palindrome (2998558992).

The spelling of 2992416000 in words is "two billion, nine hundred ninety-two million, four hundred sixteen thousand".