2892939840000 has 1600 divisors, whose sum is σ = 12632052449280. Its totient is φ = 639498240000.

The previous prime is 2892939839953. The next prime is 2892939840023. The reversal of 2892939840000 is 489392982.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1600).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1874879229 + ... + 1874880771.

Almost surely, 2^{2892939840000} is an apocalyptic number.

2892939840000 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 2892939840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6316026224640).

2892939840000 is an abundant number, since it is smaller than the sum of its proper divisors (9739112609280).

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

2892939840000 is an equidigital number, since it uses as much as digits as its factorization.

2892939840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1628 (or 1591 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 2892939840000 in words is "two trillion, eight hundred ninety-two billion, nine hundred thirty-nine million, eight hundred forty thousand".