2676429000 has 768 divisors, whose sum is σ = 11494080000. Its totient is φ = 575769600.

The previous prime is 2676428981. The next prime is 2676429001. The reversal of 2676429000 is 9246762.

It is a happy number.

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.

2676429000 is a `hidden beast` number, since 2 + 6 + 7 + 642 + 9 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2676429001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 157436992 + ... + 157437008.

It is an arithmetic number, because the mean of its divisors is an integer number (14966250).

Almost surely, 2^2676429000 is an apocalyptic number.

2676429000 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 2676429000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5747040000).

2676429000 is an abundant number, since it is smaller than the sum of its proper divisors (8817651000).

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

2676429000 is a wasteful number, since it uses less digits than its factorization.

2676429000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 2676429000 is about 51734.2149838963. The cubic root of 2676429000 is about 1388.4126938762.

The spelling of 2676429000 in words is "two billion, six hundred seventy-six million, four hundred twenty-nine thousand".