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2061642240 = 2933574261
BaseRepresentation
bin111101011100010…
…0010101000000000
312022200100021111000
41322320202220000
513210240022430
6540324052000
7102042445530
oct17270425000
95280307430
102061642240
1196881a369
12496534000
1326b17a968
14157b434c0
15c0edbe60
hex7ae22a00

2061642240 has 320 divisors, whose sum is σ = 8371249920. Its totient is φ = 471121920.

The previous prime is 2061642227. The next prime is 2061642269. The reversal of 2061642240 is 422461602.

2061642240 is a `hidden beast` number, since 2 + 0 + 616 + 4 + 2 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 481710 + ... + 485970.

It is an arithmetic number, because the mean of its divisors is an integer number (26160156).

Almost surely, 22061642240 is an apocalyptic number.

2061642240 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 2061642240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4185624960).

2061642240 is an abundant number, since it is smaller than the sum of its proper divisors (6309607680).

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

2061642240 is an equidigital number, since it uses as much as digits as its factorization.

2061642240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4300 (or 4278 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2061642240 is about 45405.3107026039. The cubic root of 2061642240 is about 1272.7343570168.

The spelling of 2061642240 in words is "two billion, sixty-one million, six hundred forty-two thousand, two hundred forty".