2245136624640 has 1408 divisors, whose sum is σ = 9868549662720. Its totient is φ = 471366107136.

The previous prime is 2245136624603. The next prime is 2245136624701. The reversal of 2245136624640 is 464266315422.

It is a happy number.

2245136624640 is a `hidden beast` number, since 2 + 2 + 4 + 5 + 1 + 366 + 246 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3987808999 + ... + 3987809561.

Almost surely, 2^{2245136624640} is an apocalyptic number.

2245136624640 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 2245136624640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4934274831360).

2245136624640 is an abundant number, since it is smaller than the sum of its proper divisors (7623413038080).

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

2245136624640 is a wasteful number, since it uses less digits than its factorization.

2245136624640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 2245136624640 in words is "two trillion, two hundred forty-five billion, one hundred thirty-six million, six hundred twenty-four thousand, six hundred forty".