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2097986940 = 223357347241
BaseRepresentation
bin111110100001100…
…1011110101111100
312102012201210001000
41331003023311330
513244041040230
6544103050300
7102663411000
oct17503136574
95365653030
102097986940
11987293705
124a6740990
132758647ba
1415c8c4700
15c42bab60
hex7d0cbd7c

2097986940 has 384 divisors, whose sum is σ = 7805952000. Its totient is φ = 467389440.

The previous prime is 2097986939. The next prime is 2097986941. The reversal of 2097986940 is 496897902.

It is an interprime number because it is at equal distance from previous prime (2097986939) and next prime (2097986941).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2097986941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8705220 + ... + 8705460.

It is an arithmetic number, because the mean of its divisors is an integer number (20328000).

Almost surely, 22097986940 is an apocalyptic number.

2097986940 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 2097986940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3902976000).

2097986940 is an abundant number, since it is smaller than the sum of its proper divisors (5707965060).

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

2097986940 is a wasteful number, since it uses less digits than its factorization.

2097986940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The square root of 2097986940 is about 45803.7873979871. The cubic root of 2097986940 is about 1280.1698464395.

The spelling of 2097986940 in words is "two billion, ninety-seven million, nine hundred eighty-six thousand, nine hundred forty".