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2974928040 = 23335719139149
BaseRepresentation
bin1011000101010001…
…1100110010101000
321200022212000002000
42301110130302220
522043040144130
61211111011000
7133502320410
oct26124346250
97608760060
102974928040
1112972a6517
126b0369a60
13385446666
1420315b640
15126290260
hexb151cca8

2974928040 has 512 divisors, whose sum is σ = 12096000000. Its totient is φ = 635268096.

The previous prime is 2974928009. The next prime is 2974928071. The reversal of 2974928040 is 408294792.

2974928040 is a `hidden beast` number, since 297 + 49 + 280 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (2974928009) and next prime (2974928071).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 19965886 + ... + 19966034.

It is an arithmetic number, because the mean of its divisors is an integer number (23625000).

Almost surely, 22974928040 is an apocalyptic number.

2974928040 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 2974928040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6048000000).

2974928040 is an abundant number, since it is smaller than the sum of its proper divisors (9121071960).

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

2974928040 is a wasteful number, since it uses less digits than its factorization.

2974928040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 2974928040 is about 54542.9009129511. The cubic root of 2974928040 is about 1438.2205450308.

The spelling of 2974928040 in words is "two billion, nine hundred seventy-four million, nine hundred twenty-eight thousand, forty".