2007742464 has 720 divisors, whose sum is σ = 7908100200. Its totient is φ = 501645312.

The previous prime is 2007742463. The next prime is 2007742469. The reversal of 2007742464 is 4642477002.

It is a happy number.

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 (2007742463) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 105670647 + ... + 105670665.

Almost surely, 2^2007742464 is an apocalyptic number.

2007742464 is a gapful number since it is divisible by the number (24) 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 2007742464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3954050100).

2007742464 is an abundant number, since it is smaller than the sum of its proper divisors (5900357736).

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

2007742464 is a wasteful number, since it uses less digits than its factorization.

2007742464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

The square root of 2007742464 is about 44807.8393141200. The cubic root of 2007742464 is about 1261.5447719875.

The spelling of 2007742464 in words is "two billion, seven million, seven hundred forty-two thousand, four hundred sixty-four".