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2990419740 = 22325711359601
BaseRepresentation
bin1011001000111110…
…0010111100011100
321201102000001200200
42302033202330130
522111021412430
61212423023500
7134051101620
oct26217427434
97642001620
102990419740
1112a5017680
126b559ab90
1338870ba49
14205231180
15127800460
hexb23e2f1c

2990419740 has 288 divisors, whose sum is σ = 11359595520. Its totient is φ = 618624000.

The previous prime is 2990419739. The next prime is 2990419753. The reversal of 2990419740 is 479140992.

It is a happy number.

It is a super-2 number, since 2×29904197402 = 17885220442763335200, 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4975440 + ... + 4976040.

It is an arithmetic number, because the mean of its divisors is an integer number (39443040).

Almost surely, 22990419740 is an apocalyptic number.

2990419740 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 2990419740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5679797760).

2990419740 is an abundant number, since it is smaller than the sum of its proper divisors (8369175780).

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

2990419740 is a wasteful number, since it uses less digits than its factorization.

2990419740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 2990419740 is about 54684.7304098685. The cubic root of 2990419740 is about 1440.7126969763.

The spelling of 2990419740 in words is "two billion, nine hundred ninety million, four hundred nineteen thousand, seven hundred forty".