2625378480 has 200 divisors, whose sum is σ = 9150939600. Its totient is φ = 697600512.

The previous prime is 2625378463. The next prime is 2625378521. The reversal of 2625378480 is 848735262.

It is a super-2 number, since 2×2625378480² = 13785224326494220800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 39 ways as a sum of consecutive naturals, for example, 2455386 + ... + 2456454.

It is an arithmetic number, because the mean of its divisors is an integer number (45754698).

Almost surely, 2^2625378480 is an apocalyptic number.

2625378480 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 2625378480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4575469800).

2625378480 is an abundant number, since it is smaller than the sum of its proper divisors (6525561120).

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

2625378480 is a wasteful number, since it uses less digits than its factorization.

2625378480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1473 (or 1458 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 2625378480 is about 51238.4472832657. The cubic root of 2625378480 is about 1379.5283832662.

The spelling of 2625378480 in words is "two billion, six hundred twenty-five million, three hundred seventy-eight thousand, four hundred eighty".