2465778000 has 240 divisors, whose sum is σ = 9248675904. Its totient is φ = 563539200.

The previous prime is 2465777987. The next prime is 2465778047. The reversal of 2465778000 is 8775642.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×2465778000² = 12160122290568000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2465778000.

It is a congruent number.

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, 289807 + ... + 298193.

Almost surely, 2^2465778000 is an apocalyptic number.

2465778000 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 2465778000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4624337952).

2465778000 is an abundant number, since it is smaller than the sum of its proper divisors (6782897904).

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

2465778000 is a wasteful number, since it uses less digits than its factorization.

2465778000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8427 (or 8404 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The square root of 2465778000 is about 49656.6007696862. The cubic root of 2465778000 is about 1350.9874805322.

The spelling of 2465778000 in words is "two billion, four hundred sixty-five million, seven hundred seventy-eight thousand".