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2123831040 = 283523139173
BaseRepresentation
bin111111010010111…
…0001011100000000
312111000100210110220
41332211301130000
513322200043130
6550425023040
7103426160142
oct17645613400
95430323426
102123831040
1199a935771
124b3324a80
1327b012c76
141620d0c92
15c66c3410
hex7e971700

2123831040 has 288 divisors, whose sum is σ = 7170024960. Its totient is φ = 534724608.

The previous prime is 2123831009. The next prime is 2123831071. The reversal of 2123831040 is 401383212.

It is an interprime number because it is at equal distance from previous prime (2123831009) and next prime (2123831071).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2123831040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12276394 + ... + 12276566.

It is an arithmetic number, because the mean of its divisors is an integer number (24895920).

Almost surely, 22123831040 is an apocalyptic number.

2123831040 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 2123831040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3585012480).

2123831040 is an abundant number, since it is smaller than the sum of its proper divisors (5046193920).

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

2123831040 is a wasteful number, since it uses less digits than its factorization.

2123831040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 2123831040 is about 46085.0413908895. The cubic root of 2123831040 is about 1285.4050089256.

The spelling of 2123831040 in words is "two billion, one hundred twenty-three million, eight hundred thirty-one thousand, forty".