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2139472440 = 2334571731179
BaseRepresentation
bin111111110000101…
…1100001000111000
312112002210110110000
41333201130020320
513340201104230
6552144153000
7104006133660
oct17741341070
95462713400
102139472440
119a8749346
124b8608760
1328132b531
141642031a0
15c7c62b60
hex7f85c238

2139472440 has 640 divisors, whose sum is σ = 9032601600. Its totient is φ = 442920960.

The previous prime is 2139472427. The next prime is 2139472451. The reversal of 2139472440 is 442749312.

2139472440 is a `hidden beast` number, since 21 + 394 + 7 + 244 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2139472395 and 2139472404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 11952271 + ... + 11952449.

It is an arithmetic number, because the mean of its divisors is an integer number (14113440).

Almost surely, 22139472440 is an apocalyptic number.

2139472440 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 2139472440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4516300800).

2139472440 is an abundant number, since it is smaller than the sum of its proper divisors (6893129160).

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

2139472440 is a wasteful number, since it uses less digits than its factorization.

2139472440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2139472440 is about 46254.4315714722. The cubic root of 2139472440 is about 1288.5528390094.

The spelling of 2139472440 in words is "two billion, one hundred thirty-nine million, four hundred seventy-two thousand, four hundred forty".