2425432464 has 320 divisors, whose sum is σ = 8666112000. Its totient is φ = 632406528.

The previous prime is 2425432463. The next prime is 2425432469. The reversal of 2425432464 is 4642345242.

2425432464 is a `hidden beast` number, since 24 + 254 + 324 + 64 = 666.

It is a super-2 number, since 2×2425432464² = 11765445274850222592, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2425432463) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4048837 + ... + 4049435.

It is an arithmetic number, because the mean of its divisors is an integer number (27081600).

Almost surely, 2^2425432464 is an apocalyptic number.

2425432464 is a gapful number since it is divisible by the number (24) 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 2425432464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4333056000).

2425432464 is an abundant number, since it is smaller than the sum of its proper divisors (6240679536).

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

2425432464 is a wasteful number, since it uses less digits than its factorization.

2425432464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739 (or 727 counting only the distinct ones).

The product of its digits is 184320, while the sum is 36.

The square root of 2425432464 is about 49248.6798198693. The cubic root of 2425432464 is about 1343.5785508923.

The spelling of 2425432464 in words is "two billion, four hundred twenty-five million, four hundred thirty-two thousand, four hundred sixty-four".