2507456420 has 144 divisors (see below), whose sum is σ = 6324373440. Its totient is φ = 832156416.

The previous prime is 2507456417. The next prime is 2507456443. The reversal of 2507456420 is 246547052.

It is a Harshad number since it is a multiple of its sum of digits (35).

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, 6615791 + ... + 6616169.

It is an arithmetic number, because the mean of its divisors is an integer number (43919260).

Almost surely, 2^2507456420 is an apocalyptic number.

2507456420 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 2507456420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3162186720).

2507456420 is an abundant number, since it is smaller than the sum of its proper divisors (3816917020).

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

2507456420 is a wasteful number, since it uses less digits than its factorization.

2507456420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 35.

The square root of 2507456420 is about 50074.5086845593. The cubic root of 2507456420 is about 1358.5567915541.

The spelling of 2507456420 in words is "two billion, five hundred seven million, four hundred fifty-six thousand, four hundred twenty".