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2144791740 = 22357213173301
BaseRepresentation
bin111111111010110…
…1110110010111100
312112110210201011010
41333311232302330
513343031313430
6552454155220
7104102300100
oct17765566274
95473721133
102144791740
11a00751863
124ba352b10
13282471750
14164bc9900
15c8463cb0
hex7fd6ecbc

2144791740 has 288 divisors, whose sum is σ = 7968227904. Its totient is φ = 425779200.

The previous prime is 2144791729. The next prime is 2144791751. The reversal of 2144791740 is 471974412.

It is an interprime number because it is at equal distance from previous prime (2144791729) and next prime (2144791751).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 648090 + ... + 651390.

It is an arithmetic number, because the mean of its divisors is an integer number (27667458).

Almost surely, 22144791740 is an apocalyptic number.

2144791740 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 2144791740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3984113952).

2144791740 is an abundant number, since it is smaller than the sum of its proper divisors (5823436164).

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

2144791740 is a wasteful number, since it uses less digits than its factorization.

2144791740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3357 (or 3348 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 2144791740 is about 46311.8963118549. The cubic root of 2144791740 is about 1289.6198507277.

The spelling of 2144791740 in words is "two billion, one hundred forty-four million, seven hundred ninety-one thousand, seven hundred forty".