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2940053889240 = 23325133147942307
BaseRepresentation
bin101010110010001000110…
…111100010000011011000
3101102001210102002022211200
4222302020313202003120
5341132212243423430
610130350410154200
7422261163502626
oct52621067420330
911361712068750
102940053889240
11a33962856486
123b5976122960
131843272c0450
14a2429670516
1551726ad8460
hex2ac88de20d8

2940053889240 has 384 divisors, whose sum is σ = 10644557414400. Its totient is φ = 698881582080.

The previous prime is 2940053889211. The next prime is 2940053889257. The reversal of 2940053889240 is 429883500492.

2940053889240 is a `hidden beast` number, since 2 + 9 + 4 + 0 + 0 + 538 + 89 + 24 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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, 69472167 + ... + 69514473.

It is an arithmetic number, because the mean of its divisors is an integer number (27720201600).

Almost surely, 22940053889240 is an apocalyptic number.

2940053889240 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 2940053889240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5322278707200).

2940053889240 is an abundant number, since it is smaller than the sum of its proper divisors (7704503525160).

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

2940053889240 is a wasteful number, since it uses less digits than its factorization.

2940053889240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42847 (or 42840 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 2940053889240 in words is "two trillion, nine hundred forty billion, fifty-three million, eight hundred eighty-nine thousand, two hundred forty".