2458232640 has 672 divisors, whose sum is σ = 9757013760. Its totient is φ = 564461568.

The previous prime is 2458232639. The next prime is 2458232641. The reversal of 2458232640 is 462328542.

2458232640 is a `hidden beast` number, since 2 + 4 + 5 + 8 + 2 + 3 + 2 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (2458232639) and next prime (2458232641).

It is a super-2 number, since 2×2458232640² = 12085815424722739200, 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 = 2458232595 and 2458232604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2458232641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41664931 + ... + 41664989.

Almost surely, 2^2458232640 is an apocalyptic number.

2458232640 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 2458232640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4878506880).

2458232640 is an abundant number, since it is smaller than the sum of its proper divisors (7298781120).

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

2458232640 is a wasteful number, since it uses less digits than its factorization.

2458232640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 2458232640 is about 49580.5671609351. The cubic root of 2458232640 is about 1349.6080508244.

The spelling of 2458232640 in words is "two billion, four hundred fifty-eight million, two hundred thirty-two thousand, six hundred forty".