2007460820 has 24 divisors (see below), whose sum is σ = 4252979304. Its totient is φ = 795877376.

The previous prime is 2007460813. The next prime is 2007460837. The reversal of 2007460820 is 280647002.

It can be written as a sum of positive squares in 4 ways, for example, as 115906756 + 1891554064 = 10766^2 + 43492^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 441869 + ... + 446388.

It is an arithmetic number, because the mean of its divisors is an integer number (177207471).

Almost surely, 2^2007460820 is an apocalyptic number.

2007460820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2007460820 is an abundant number, since it is smaller than the sum of its proper divisors (2245518484).

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

2007460820 is a wasteful number, since it uses less digits than its factorization.

2007460820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 888379 (or 888377 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 2007460820 is about 44804.6964056225. The cubic root of 2007460820 is about 1261.4857798380.

The spelling of 2007460820 in words is "two billion, seven million, four hundred sixty thousand, eight hundred twenty".