2892964140 has 192 divisors, whose sum is σ = 10084677120. Its totient is φ = 682318080.

The previous prime is 2892964133. The next prime is 2892964147. The reversal of 2892964140 is 414692982.

2892964140 is a `hidden beast` number, since 289 + 296 + 41 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (2892964133) and next prime (2892964147).

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

It is not an unprimeable number, because it can be changed into a prime (2892964147) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 213199 + ... + 226361.

It is an arithmetic number, because the mean of its divisors is an integer number (52524360).

Almost surely, 2^2892964140 is an apocalyptic number.

2892964140 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 2892964140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5042338560).

2892964140 is an abundant number, since it is smaller than the sum of its proper divisors (7191712980).

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

2892964140 is a wasteful number, since it uses less digits than its factorization.

2892964140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13229 (or 13221 counting only the distinct ones).

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

The square root of 2892964140 is about 53786.2820800992. The cubic root of 2892964140 is about 1424.8889442538. Note that the first 3 decimals are identical.

The spelling of 2892964140 in words is "two billion, eight hundred ninety-two million, nine hundred sixty-four thousand, one hundred forty".