2892471120 has 1200 divisors, whose sum is σ = 13793117184. Its totient is φ = 547430400.

The previous prime is 2892471097. The next prime is 2892471143. The reversal of 2892471120 is 211742982.

2892471120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2892471097) and next prime (2892471143).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 93305505 + ... + 93305535.

Almost surely, 2^2892471120 is an apocalyptic number.

2892471120 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 2892471120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6896558592).

2892471120 is an abundant number, since it is smaller than the sum of its proper divisors (10900646064).

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

2892471120 is a wasteful number, since it uses less digits than its factorization.

2892471120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 2892471120 is about 53781.6987459489. The cubic root of 2892471120 is about 1424.8079962914.

The spelling of 2892471120 in words is "two billion, eight hundred ninety-two million, four hundred seventy-one thousand, one hundred twenty".