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2140012992 = 2631343127157
BaseRepresentation
bin111111110001110…
…0000000111000000
312112010210220221110
41333203200013000
513340320403432
6552203523320
7104013544635
oct17743400700
95463726843
102140012992
119a8a88487
124b8829540
1328148a5a0
1416430418c
15c7d1cdcc
hex7f8e01c0

2140012992 has 224 divisors, whose sum is σ = 6328655872. Its totient is φ = 634023936.

The previous prime is 2140012991. The next prime is 2140013009. The reversal of 2140012992 is 2992100412.

It is a happy number.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2140012991) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13630578 + ... + 13630734.

It is an arithmetic number, because the mean of its divisors is an integer number (28252928).

Almost surely, 22140012992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2140012992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3164327936).

2140012992 is an abundant number, since it is smaller than the sum of its proper divisors (4188642880).

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

2140012992 is a wasteful number, since it uses less digits than its factorization.

2140012992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 2140012992 is about 46260.2744479537. The cubic root of 2140012992 is about 1288.6613503646.

The spelling of 2140012992 in words is "two billion, one hundred forty million, twelve thousand, nine hundred ninety-two".