2541945400 has 192 divisors, whose sum is σ = 6665868000. Its totient is φ = 898283520.

The previous prime is 2541945397. The next prime is 2541945401. The reversal of 2541945400 is 45491452.

It is a super-2 number, since 2×2541945400² = 12922972833162320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2541945401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23320546 + ... + 23320654.

Almost surely, 2^2541945400 is an apocalyptic number.

2541945400 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 2541945400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3332934000).

2541945400 is an abundant number, since it is smaller than the sum of its proper divisors (4123922600).

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

2541945400 is a wasteful number, since it uses less digits than its factorization.

2541945400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The square root of 2541945400 is about 50417.7091903232. The cubic root of 2541945400 is about 1364.7572369914.

The spelling of 2541945400 in words is "two billion, five hundred forty-one million, nine hundred forty-five thousand, four hundred".