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2040698880 = 21133511261
BaseRepresentation
bin111100110100010…
…1001100000000000
312021012221020121000
41321220221200000
513134404331010
6534255132000
7101366440263
oct17150514000
95235836530
102040698880
11957a15300
1248b514000
13266a2703c
14155050cda
15be2517c0
hex79a29800

2040698880 has 576 divisors, whose sum is σ = 8104168800. Its totient is φ = 486604800.

The previous prime is 2040698879. The next prime is 2040698911. The reversal of 2040698880 is 888960402.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33454050 + ... + 33454110.

Almost surely, 22040698880 is an apocalyptic number.

2040698880 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 2040698880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4052084400).

2040698880 is an abundant number, since it is smaller than the sum of its proper divisors (6063469920).

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

2040698880 is a wasteful number, since it uses less digits than its factorization.

2040698880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 2040698880 is about 45174.0952316701. The cubic root of 2040698880 is about 1268.4099554465.

The spelling of 2040698880 in words is "two billion, forty million, six hundred ninety-eight thousand, eight hundred eighty".