2651502240 has 288 divisors, whose sum is σ = 9696108240. Its totient is φ = 657457152.

The previous prime is 2651502239. The next prime is 2651502263. The reversal of 2651502240 is 422051562.

2651502240 is a `hidden beast` number, since 2 + 651 + 5 + 0 + 2 + 2 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 876396816 + 1775105424 = 29604^2 + 42132^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2178112 + ... + 2179328.

Almost surely, 2^2651502240 is an apocalyptic number.

2651502240 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 2651502240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4848054120).

2651502240 is an abundant number, since it is smaller than the sum of its proper divisors (7044606000).

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

2651502240 is a wasteful number, since it uses less digits than its factorization.

2651502240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344 (or 1333 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 2651502240 is about 51492.7396824057. The cubic root of 2651502240 is about 1384.0889436863.

The spelling of 2651502240 in words is "two billion, six hundred fifty-one million, five hundred two thousand, two hundred forty".