2458752000 has 352 divisors, whose sum is σ = 8634737280. Its totient is φ = 619315200.

The previous prime is 2458751993. The next prime is 2458752047. The reversal of 2458752000 is 2578542.

It is a super-2 number, since 2×2458752000² = 12090922795008000000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7295832 + ... + 7296168.

Almost surely, 2^2458752000 is an apocalyptic number.

2458752000 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 2458752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4317368640).

2458752000 is an abundant number, since it is smaller than the sum of its proper divisors (6175985280).

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

2458752000 is a wasteful number, since it uses less digits than its factorization.

2458752000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 33.

The square root of 2458752000 is about 49585.8044202169. The cubic root of 2458752000 is about 1349.7030897111.

The spelling of 2458752000 in words is "two billion, four hundred fifty-eight million, seven hundred fifty-two thousand".