2470058640 has 360 divisors, whose sum is σ = 9839122488. Its totient is φ = 553512960.

The previous prime is 2470058627. The next prime is 2470058663. The reversal of 2470058640 is 468500742.

2470058640 is a `hidden beast` number, since 2 + 4 + 7 + 0 + 0 + 5 + 8 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1002862224 + 1467196416 = 31668^2 + 38304^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×2470058640² = 12202379370077299200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2470058595 and 2470058604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1869180 + ... + 1870500.

Almost surely, 2^2470058640 is an apocalyptic number.

2470058640 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 2470058640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4919561244).

2470058640 is an abundant number, since it is smaller than the sum of its proper divisors (7369063848).

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

2470058640 is a wasteful number, since it uses less digits than its factorization.

2470058640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1407 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 2470058640 is about 49699.6845060409. The cubic root of 2470058640 is about 1351.7688090152.

The spelling of 2470058640 in words is "two billion, four hundred seventy million, fifty-eight thousand, six hundred forty".