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2992419144 = 23321113509571
BaseRepresentation
bin1011001001011100…
…1011000101001000
321201112202122100200
42302113023011020
522112024403034
61212533532200
7134104100031
oct26227130510
97645678320
102992419144
1112a6162880
126b61a4060
13388c5bb20
142055d1a88
15127a97a99
hexb25cb148

2992419144 has 192 divisors, whose sum is σ = 9556747200. Its totient is φ = 833932800.

The previous prime is 2992419113. The next prime is 2992419173. The reversal of 2992419144 is 4419142992.

It is a happy number.

2992419144 is a `hidden beast` number, since 2 + 9 + 92 + 419 + 144 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2992419144.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5240379 + ... + 5240949.

It is an arithmetic number, because the mean of its divisors is an integer number (49774725).

Almost surely, 22992419144 is an apocalyptic number.

2992419144 is a gapful number since it is divisible by the number (24) 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 2992419144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4778373600).

2992419144 is an abundant number, since it is smaller than the sum of its proper divisors (6564328056).

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

2992419144 is a wasteful number, since it uses less digits than its factorization.

2992419144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1116 (or 1109 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 2992419144 is about 54703.0085461485. The cubic root of 2992419144 is about 1441.0337137825.

The spelling of 2992419144 in words is "two billion, nine hundred ninety-two million, four hundred nineteen thousand, one hundred forty-four".