2892380400 has 840 divisors, whose sum is σ = 12940595360. Its totient is φ = 604661760.

The previous prime is 2892380353. The next prime is 2892380417. The reversal of 2892380400 is 40832982.

It is a tau number, because it is divible by the number of its divisors (840).

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 167 ways as a sum of consecutive naturals, for example, 26535546 + ... + 26535654.

Almost surely, 2^2892380400 is an apocalyptic number.

2892380400 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 2892380400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6470297680).

2892380400 is an abundant number, since it is smaller than the sum of its proper divisors (10048214960).

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

2892380400 is a wasteful number, since it uses less digits than its factorization.

2892380400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2892380400 is about 53780.8553297547. The cubic root of 2892380400 is about 1424.7931001550.

The spelling of 2892380400 in words is "two billion, eight hundred ninety-two million, three hundred eighty thousand, four hundred".