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2874111240 = 23357111371337
BaseRepresentation
bin1010101101001111…
…0111010100001000
321102022010222102110
42223103313110020
521341233024430
61153110102320
7131136354030
oct25323672410
97368128373
102874111240
1112453a7350
1268264a9a0
1336a5a8150
141d39d68c0
1511c4c87b0
hexab4f7508

2874111240 has 512 divisors, whose sum is σ = 11774730240. Its totient is φ = 541900800.

The previous prime is 2874111223. The next prime is 2874111259. The reversal of 2874111240 is 421114782.

2874111240 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2874111198 and 2874111207.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8528352 + ... + 8528688.

It is an arithmetic number, because the mean of its divisors is an integer number (22997520).

Almost surely, 22874111240 is an apocalyptic number.

2874111240 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 2874111240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5887365120).

2874111240 is an abundant number, since it is smaller than the sum of its proper divisors (8900619000).

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

2874111240 is a wasteful number, since it uses less digits than its factorization.

2874111240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 2874111240 is about 53610.7381034807. The cubic root of 2874111240 is about 1421.7869522035.

The spelling of 2874111240 in words is "two billion, eight hundred seventy-four million, one hundred eleven thousand, two hundred forty".