2009076048 has 300 divisors, whose sum is σ = 7165955412. Its totient is φ = 539965440.

The previous prime is 2009076023. The next prime is 2009076073. The reversal of 2009076048 is 8406709002.

It is an interprime number because it is at equal distance from previous prime (2009076023) and next prime (2009076073).

It can be written as a sum of positive squares in 2 ways, for example, as 561121344 + 1447954704 = 23688^2 + 38052^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1078638 + ... + 1080498.

Almost surely, 2^2009076048 is an apocalyptic number.

2009076048 is a gapful number since it is divisible by the number (28) 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 2009076048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3582977706).

2009076048 is an abundant number, since it is smaller than the sum of its proper divisors (5156879364).

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

2009076048 is a wasteful number, since it uses less digits than its factorization.

2009076048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1912 (or 1890 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2009076048 is about 44822.7179898765. The cubic root of 2009076048 is about 1261.8240248634.

The spelling of 2009076048 in words is "two billion, nine million, seventy-six thousand, forty-eight".