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2930198880 = 2535717431193
BaseRepresentation
bin1010111010100111…
…0100100101100000
321120012200112012110
42232221310211200
522000112331010
61202432155320
7132420164610
oct25651644540
97505615173
102930198880
111274025874
12699398b40
133790b53bb
141db236a40
151223a7120
hexaea74960

2930198880 has 384 divisors, whose sum is σ = 11438558208. Its totient is φ = 615186432.

The previous prime is 2930198857. The next prime is 2930198893. The reversal of 2930198880 is 888910392.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2455564 + ... + 2456756.

It is an arithmetic number, because the mean of its divisors is an integer number (29787912).

Almost surely, 22930198880 is an apocalyptic number.

2930198880 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 2930198880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5719279104).

2930198880 is an abundant number, since it is smaller than the sum of its proper divisors (8508359328).

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

2930198880 is a wasteful number, since it uses less digits than its factorization.

2930198880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1278 (or 1270 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 48.

The square root of 2930198880 is about 54131.3114564944. The cubic root of 2930198880 is about 1430.9760529571.

The spelling of 2930198880 in words is "two billion, nine hundred thirty million, one hundred ninety-eight thousand, eight hundred eighty".