2892232980 has 480 divisors, whose sum is σ = 11665995264. Its totient is φ = 583013376.

The previous prime is 2892232943. The next prime is 2892232999. The reversal of 2892232980 is 892322982.

2892232980 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2892232980² = 16730023221199360800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 3390234 + ... + 3391086.

Almost surely, 2^2892232980 is an apocalyptic number.

2892232980 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 2892232980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5832997632).

2892232980 is an abundant number, since it is smaller than the sum of its proper divisors (8773762284).

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

2892232980 is a wasteful number, since it uses less digits than its factorization.

2892232980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 917 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 2892232980 is about 53779.4847502279. The cubic root of 2892232980 is about 1424.7688932690.

The spelling of 2892232980 in words is "two billion, eight hundred ninety-two million, two hundred thirty-two thousand, nine hundred eighty".