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2141494080 = 2635111779151
BaseRepresentation
bin111111110100100…
…1001101101000000
312112020121011121120
41333221021231000
513341210302310
6552255352240
7104032253655
oct17751115500
95466534546
102141494080
119a98aa220
124b9222680
1328188877b
141645abc2c
15c8011b70
hex7fa49b40

2141494080 has 448 divisors, whose sum is σ = 8005754880. Its totient is φ = 479232000.

The previous prime is 2141494057. The next prime is 2141494081. The reversal of 2141494080 is 804941412.

2141494080 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2141494081) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14182005 + ... + 14182155.

Almost surely, 22141494080 is an apocalyptic number.

2141494080 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 2141494080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4002877440).

2141494080 is an abundant number, since it is smaller than the sum of its proper divisors (5864260800).

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

2141494080 is a wasteful number, since it uses less digits than its factorization.

2141494080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 2141494080 is about 46276.2798850556. The cubic root of 2141494080 is about 1288.9585729709.

The spelling of 2141494080 in words is "two billion, one hundred forty-one million, four hundred ninety-four thousand, eighty".