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2661141600 = 253952132
BaseRepresentation
bin1001111010011101…
…1100110001100000
320212110102000000000
42132213130301200
520422223012400
61120021300000
7122642221215
oct23647346140
96773360000
102661141600
111146166087
12623264600
1333542c700
141b35d9b0c
1510895b600
hex9e9dcc60

2661141600 has 540 divisors, whose sum is σ = 10551848076. Its totient is φ = 655050240.

The previous prime is 2661141583. The next prime is 2661141611. The reversal of 2661141600 is 61411662.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

2661141600 is a `hidden beast` number, since 2 + 6 + 6 + 11 + 41 + 600 = 666.

2661141600 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 tau number, because it is divible by the number of its divisors (540).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 204703194 + ... + 204703206.

Almost surely, 22661141600 is an apocalyptic number.

2661141600 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 2661141600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5275924038).

2661141600 is an abundant number, since it is smaller than the sum of its proper divisors (7890706476).

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

2661141600 is an frugal number, since it uses more digits than its factorization.

2661141600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2661141600 is about 51586.2539830137. The cubic root of 2661141600 is about 1385.7641696915.

The spelling of 2661141600 in words is "two billion, six hundred sixty-one million, one hundred forty-one thousand, six hundred".