2007420688 has 80 divisors (see below), whose sum is σ = 4798192896. Its totient is φ = 792276480.

The previous prime is 2007420677. The next prime is 2007420691. The reversal of 2007420688 is 8860247002.

It is a super-2 number, since 2×2007420688² = 8059475637220786688, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 730998 + ... + 733738.

Almost surely, 2^2007420688 is an apocalyptic number.

2007420688 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 2007420688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2399096448).

2007420688 is an abundant number, since it is smaller than the sum of its proper divisors (2790772208).

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

2007420688 is a wasteful number, since it uses less digits than its factorization.

2007420688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3272 (or 3266 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 37.

The square root of 2007420688 is about 44804.2485485473. The cubic root of 2007420688 is about 1261.4773734830.

The spelling of 2007420688 in words is "two billion, seven million, four hundred twenty thousand, six hundred eighty-eight".