2542962240 has 672 divisors, whose sum is σ = 11147974656. Its totient is φ = 517570560.

The previous prime is 2542962211. The next prime is 2542962241. The reversal of 2542962240 is 422692452.

It is a happy number.

2542962240 is a `hidden beast` number, since 2 + 5 + 4 + 29 + 622 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-3 number, since 3×2542962240³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2542962195 and 2542962204.

It is not an unprimeable number, because it can be changed into a prime (2542962241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8124324 + ... + 8124636.

It is an arithmetic number, because the mean of its divisors is an integer number (16589248).

Almost surely, 2^2542962240 is an apocalyptic number.

2542962240 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 2542962240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5573987328).

2542962240 is an abundant number, since it is smaller than the sum of its proper divisors (8605012416).

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

2542962240 is a wasteful number, since it uses less digits than its factorization.

2542962240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 2542962240 is about 50427.7923371626. The cubic root of 2542962240 is about 1364.9391914303.

The spelling of 2542962240 in words is "two billion, five hundred forty-two million, nine hundred sixty-two thousand, two hundred forty".